Sooppy Nisar, Kottakkaran; Muthuselvan, Kanagaraj A new effective technique of nonlocal controllability criteria for state delay with impulsive fractional integro-differential equation. (English) Zbl 07820998 Results Appl. Math. 21, Article ID 100437, 12 p. (2024). MSC: 34A08 34A37 93B05 47G20 PDFBibTeX XMLCite \textit{K. Sooppy Nisar} and \textit{K. Muthuselvan}, Results Appl. Math. 21, Article ID 100437, 12 p. (2024; Zbl 07820998) Full Text: DOI
Sachan, Dheerandra Shanker; Kumar, Dinesh; Sooppy Nisar, Kottakkaran Certain properties associated with generalized \(M\)-series using Hadamard product. (English) Zbl 07807042 Sahand Commun. Math. Anal. 21, No. 1, 151-171 (2024). MSC: 33E20 33C20 33E12 PDFBibTeX XMLCite \textit{D. S. Sachan} et al., Sahand Commun. Math. Anal. 21, No. 1, 151--171 (2024; Zbl 07807042) Full Text: DOI
Dineshkumar, C.; Udhayakumar, R.; Vijayakumar, V.; Nisar, Kottakkaran Sooppy Results on approximate controllability of neutral integro-differential stochastic system with state-dependent delay. (English) Zbl 07798401 Numer. Methods Partial Differ. Equations 40, No. 1, Article ID e22698, 29 p. (2024). MSC: 65C30 93B05 PDFBibTeX XMLCite \textit{C. Dineshkumar} et al., Numer. Methods Partial Differ. Equations 40, No. 1, Article ID e22698, 29 p. (2024; Zbl 07798401) Full Text: DOI
Kavitha Williams, W.; Vijayakumar, V.; Udhayakumar, R.; Panda, Sumati Kumari; Nisar, Kottakkaran Sooppy Existence and controllability of nonlocal mixed Volterra-Fredholm type fractional delay integro-differential equations of order \(1 < r < 2\). (English) Zbl 07798400 Numer. Methods Partial Differ. Equations 40, No. 1, Article ID e22697, 21 p. (2024). MSC: 65R20 93B05 26A33 PDFBibTeX XMLCite \textit{W. Kavitha Williams} et al., Numer. Methods Partial Differ. Equations 40, No. 1, Article ID e22697, 21 p. (2024; Zbl 07798400) Full Text: DOI
Mohan Raja, M.; Vijayakumar, V.; Udhayakumar, R.; Nisar, Kottakkaran Sooppy Results on existence and controllability results for fractional evolution inclusions of order \(1 < r < 2\) with Clarke’s subdifferential type. (English) Zbl 07798396 Numer. Methods Partial Differ. Equations 40, No. 1, Article ID e22691, 39 p. (2024). MSC: 65L05 93B05 26A33 34H05 PDFBibTeX XMLCite \textit{M. Mohan Raja} et al., Numer. Methods Partial Differ. Equations 40, No. 1, Article ID e22691, 39 p. (2024; Zbl 07798396) Full Text: DOI
Vijayakumar, V.; Udhayakumar, R.; Panda, Sumati Kumari; Nisar, Kottakkaran Sooppy Results on approximate controllability of Sobolev type fractional stochastic evolution hemivariational inequalities. (English) Zbl 07798395 Numer. Methods Partial Differ. Equations 40, No. 1, Article ID e22690, 39 p. (2024). MSC: 65C30 93B05 49J40 65K15 PDFBibTeX XMLCite \textit{V. Vijayakumar} et al., Numer. Methods Partial Differ. Equations 40, No. 1, Article ID e22690, 39 p. (2024; Zbl 07798395) Full Text: DOI
Nisar, Kottakkaran Sooppy; Jagatheeshwari, R.; Ravichandran, C.; Veeresha, P. An effective analytical method for fractional Brusselator reaction-diffusion system. (English) Zbl 07816027 Math. Methods Appl. Sci. 46, No. 18, 18749-18758 (2023). MSC: 00A69 26A33 35K58 40C15 PDFBibTeX XMLCite \textit{K. S. Nisar} et al., Math. Methods Appl. Sci. 46, No. 18, 18749--18758 (2023; Zbl 07816027) Full Text: DOI
Raja, Marimuthu Mohan; Vijayakumar, Velusamy; Nieto, Juan J.; Panda, Sumati Kumari; Shukla, Anurag; Nisar, Kottakkaran Sooppy An analysis on the approximate controllability results for Caputo fractional hemivariational inequalities of order \(1 < r < 2\) using sectorial operators. (English) Zbl 1527.49008 Nonlinear Anal., Model. Control 28, No. 6, 1037-1061 (2023). MSC: 49J40 49J53 93B05 47B12 PDFBibTeX XMLCite \textit{M. M. Raja} et al., Nonlinear Anal., Model. Control 28, No. 6, 1037--1061 (2023; Zbl 1527.49008) Full Text: Link
Mohan Raja, Marimuthu; Vijayakumar, Velusamy; Shukla, Anurag; Nisar, Kottakkaran Sooppy; Rezapour, Shahram Investigating existence results for fractional evolution inclusions with order \(r \in (1, 2)\) in Banach space. (English) Zbl 07773889 Int. J. Nonlinear Sci. Numer. Simul. 24, No. 6, 2047-2060 (2023). MSC: 34A08 34G25 47D09 35R70 34B10 PDFBibTeX XMLCite \textit{M. Mohan Raja} et al., Int. J. Nonlinear Sci. Numer. Simul. 24, No. 6, 2047--2060 (2023; Zbl 07773889) Full Text: DOI
Panda, Sumati Kumari; Vijayakumar, Velusamy; Nisar, Kottakkaran Sooppy Applying periodic and anti-periodic boundary conditions in existence results of fractional differential equations via nonlinear contractive mappings. (English) Zbl 1527.54054 Bound. Value Probl. 2023, Paper No. 91, 35 p. (2023). MSC: 54H25 54E40 34A08 PDFBibTeX XMLCite \textit{S. K. Panda} et al., Bound. Value Probl. 2023, Paper No. 91, 35 p. (2023; Zbl 1527.54054) Full Text: DOI OA License
Dineshkumar, C.; Vijayakumar, V.; Udhayakumar, R.; Nisar, Kottakkaran Sooppy; Shukla, Anurag Results on approximate controllability for fractional stochastic delay differential systems of order \(r \in (1, 2)\). (English) Zbl 1528.34061 Stoch. Dyn. 23, No. 6, Article ID 2350047, 26 p. (2023). MSC: 34K35 34K09 34K30 34K50 34K37 60H10 93B05 PDFBibTeX XMLCite \textit{C. Dineshkumar} et al., Stoch. Dyn. 23, No. 6, Article ID 2350047, 26 p. (2023; Zbl 1528.34061) Full Text: DOI
Dineshkumar, Chendrayan; Vijayakumar, Velusamy; Udhayakumar, Ramalingam; Shukla, Anurag; Nisar, Kottakkaran Sooppy Controllability discussion for fractional stochastic Volterra-Fredholm integro-differential systems of order \(1<r<2\). (English) Zbl 07748415 Int. J. Nonlinear Sci. Numer. Simul. 24, No. 5, 1947-1979 (2023). MSC: 26A33 34A08 34K30 47D09 45D05 93E03 PDFBibTeX XMLCite \textit{C. Dineshkumar} et al., Int. J. Nonlinear Sci. Numer. Simul. 24, No. 5, 1947--1979 (2023; Zbl 07748415) Full Text: DOI
Nisar, Kottakkaran Sooppy; Shah, Firdous A. A numerical scheme based on Gegenbauer wavelets for solving a class of relaxation-oscillation equations of fractional order. (English) Zbl 07739757 Math. Sci., Springer 17, No. 3, 233-245 (2023). MSC: 65M70 34A08 42C40 65N35 PDFBibTeX XMLCite \textit{K. S. Nisar} and \textit{F. A. Shah}, Math. Sci., Springer 17, No. 3, 233--245 (2023; Zbl 07739757) Full Text: DOI
Azeem, Muhammad; Farman, Muhammad; Abukhaled, Marwan; Nisar, Kottakkaran Sooppy; Akgül, Ali Epidemiological analysis of human liver model with fractional operator. (English) Zbl 07726750 Fractals 31, No. 4, Article ID 2340047, 12 p. (2023). MSC: 65Lxx 35Rxx 65Mxx PDFBibTeX XMLCite \textit{M. Azeem} et al., Fractals 31, No. 4, Article ID 2340047, 12 p. (2023; Zbl 07726750) Full Text: DOI
Jothimani, K.; Valliammal, N.; Alsaeed, S.; Nisar, Kottakkaran S.; Ravichandran, C. Controllability results of Hilfer fractional derivative through integral contractors. (English) Zbl 1522.34024 Qual. Theory Dyn. Syst. 22, No. 4, Paper No. 137, 17 p. (2023). MSC: 34A08 34G20 34H05 93B05 47H10 PDFBibTeX XMLCite \textit{K. Jothimani} et al., Qual. Theory Dyn. Syst. 22, No. 4, Paper No. 137, 17 p. (2023; Zbl 1522.34024) Full Text: DOI
Johnson, Murugesan; Raja, Marimuthu Mohan; Vijayakumar, Velusamy; Shukla, Anurag; Nisar, Kottakkaran Sooppy; Jahanshahi, Hadi Optimal control results for impulsive fractional delay integrodifferential equations of order \(1 < r < 2\) via sectorial operator. (English) Zbl 1519.45002 Nonlinear Anal., Model. Control 28, No. 3, 468-490 (2023). MSC: 45J05 34K37 34K45 49N25 26A33 PDFBibTeX XMLCite \textit{M. Johnson} et al., Nonlinear Anal., Model. Control 28, No. 3, 468--490 (2023; Zbl 1519.45002) Full Text: DOI
Chandola, Ankita; Pandey, Rupakshi Mishra; Nisar, Kottakkaran Sooppy On the new bicomplex generalization of Hurwitz-Lerch zeta function with properties and applications. (English) Zbl 1509.11085 Analysis, München 43, No. 2, 71-88 (2023). MSC: 11M35 33E99 PDFBibTeX XMLCite \textit{A. Chandola} et al., Analysis, München 43, No. 2, 71--88 (2023; Zbl 1509.11085) Full Text: DOI
Khan, Aziz; Ain, Qura Tul; Abdeljawad, Thabet; Sooppy Nisar, Kottakkaran Exact controllability of Hilfer fractional differential system with non-instantaneous impluleses and state dependent delay. (English) Zbl 1526.34055 Qual. Theory Dyn. Syst. 22, No. 2, Paper No. 62, 19 p. (2023). MSC: 34K35 34K37 34K30 34K45 34K43 93B05 47N20 PDFBibTeX XMLCite \textit{A. Khan} et al., Qual. Theory Dyn. Syst. 22, No. 2, Paper No. 62, 19 p. (2023; Zbl 1526.34055) Full Text: DOI
Dineshkumar, C.; Udhayakumar, R.; Vijayakumar, V.; Shukla, Anurag; Sooppy Nisar, Kottakkaran Discussion on the approximate controllability of nonlocal fractional derivative by Mittag-Leffler kernel to stochastic differential systems. (English) Zbl 1508.93032 Qual. Theory Dyn. Syst. 22, No. 1, Paper No. 27, 35 p. (2023). MSC: 93B05 93E03 93C15 34A08 34K37 60H10 PDFBibTeX XMLCite \textit{C. Dineshkumar} et al., Qual. Theory Dyn. Syst. 22, No. 1, Paper No. 27, 35 p. (2023; Zbl 1508.93032) Full Text: DOI
Dineshkumar, C.; Udhayakumar, R.; Vijayakumar, V.; Shukla, Anurag; Nisar, Kottakkaran Sooppy New discussion regarding approximate controllability for Sobolev-type fractional stochastic hemivariational inequalities of order \(r\in(1,2)\). (English) Zbl 1512.93020 Commun. Nonlinear Sci. Numer. Simul. 116, Article ID 106891, 22 p. (2023). MSC: 93B05 26A33 34A08 34G25 47D09 PDFBibTeX XMLCite \textit{C. Dineshkumar} et al., Commun. Nonlinear Sci. Numer. Simul. 116, Article ID 106891, 22 p. (2023; Zbl 1512.93020) Full Text: DOI
Kumar, Dileep; Nisar, Kottakkaran Sooppy A novel linearized Galerkin finite element scheme with fractional Crank-Nicolson method for the nonlinear coupled delay subdiffusion system with smooth solutions. (English) Zbl 1527.65098 Math. Methods Appl. Sci. 45, No. 3, 1377-1401 (2022). MSC: 65M60 65M12 PDFBibTeX XMLCite \textit{D. Kumar} and \textit{K. S. Nisar}, Math. Methods Appl. Sci. 45, No. 3, 1377--1401 (2022; Zbl 1527.65098) Full Text: DOI
Gupta, Vidushi; Jarad, Fahd; Valliammal, Natarajan; Ravichandran, Chokkalingam; Nisar, Kottakkaran Sooppy Existence and uniqueness of solutions for fractional nonlinear hybrid impulsive system. (English) Zbl 07777090 Numer. Methods Partial Differ. Equations 38, No. 3, 359-371 (2022). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{V. Gupta} et al., Numer. Methods Partial Differ. Equations 38, No. 3, 359--371 (2022; Zbl 07777090) Full Text: DOI
Mohan Raja, Marimuthu; Vijayakumar, Velusamy; Shukla, Anurag; Sooppy Nisar, Kottakkaran; Sakthivel, Natarajan; Kaliraj, Kalimuthu Optimal control and approximate controllability for fractional integrodifferential evolution equations with infinite delay of order \(r \in (1, 2)\). (English) Zbl 07754117 Optim. Control Appl. Methods 43, No. 4, 996-1019 (2022). MSC: 93B05 45K05 26A33 49J15 PDFBibTeX XMLCite \textit{M. Mohan Raja} et al., Optim. Control Appl. Methods 43, No. 4, 996--1019 (2022; Zbl 07754117) Full Text: DOI
Sooppy Nisar, Kottakkaran; Vijayaraj, V.; Valliammal, N.; Logeswari, K.; Ravichandran, C.; Abdel-Aty, Abdel-Haleem; Yahia, Ibrahim S. A note on controllability of noninstantaneous impulsive Atangana-Baleanu-Caputo neutral fractional integrodifferential systems. (English) Zbl 1515.34079 Fractals 30, No. 8, Article ID 2240203, 15 p. (2022). MSC: 34K35 34K30 34K37 34K40 34K45 93B05 47N20 45J99 PDFBibTeX XMLCite \textit{K. Sooppy Nisar} et al., Fractals 30, No. 8, Article ID 2240203, 15 p. (2022; Zbl 1515.34079) Full Text: DOI
Kalimuthu, K.; Mohan, M.; Chokkalingam, R.; Nisar, Kottakkaran Sooppy Results on neutral differential equation of Sobolev type with nonlocal conditions. (English) Zbl 1505.34119 Chaos Solitons Fractals 158, Article ID 112060, 16 p. (2022). MSC: 34K37 26A33 34K40 PDFBibTeX XMLCite \textit{K. Kalimuthu} et al., Chaos Solitons Fractals 158, Article ID 112060, 16 p. (2022; Zbl 1505.34119) Full Text: DOI
Ravichandran, C.; Sowbakiya, V.; Nisar, Kottakkaran Sooppy Study on existence and data dependence results for fractional order differential equations. (English) Zbl 1504.45008 Chaos Solitons Fractals 160, Article ID 112232, 8 p. (2022). MSC: 45J05 34A08 34K37 26A33 PDFBibTeX XMLCite \textit{C. Ravichandran} et al., Chaos Solitons Fractals 160, Article ID 112232, 8 p. (2022; Zbl 1504.45008) Full Text: DOI
Jothimani, K.; Ravichandran, C.; Kumar, Vipin; Djemai, Mohamed; Nisar, Kottakkaran Sooppy Interpretation of trajectory control and optimization for the nondense fractional system. (English) Zbl 1513.93008 Int. J. Appl. Comput. Math. 8, No. 6, Paper No. 273, 14 p. (2022). MSC: 93B05 93C25 47J35 34K37 34K30 PDFBibTeX XMLCite \textit{K. Jothimani} et al., Int. J. Appl. Comput. Math. 8, No. 6, Paper No. 273, 14 p. (2022; Zbl 1513.93008) Full Text: DOI
Raja, M. Mohan; Shukla, Anurag; Nieto, Juan J.; Vijayakumar, V.; Sooppy Nisar, Kottakkaran A note on the existence and controllability results for fractional integrodifferential inclusions of order \(r\in(1, 2]\) with impulses. (English) Zbl 1508.34102 Qual. Theory Dyn. Syst. 21, No. 4, Paper No. 150, 41 p. (2022). MSC: 34K37 34K30 34K45 34K35 93B05 47D09 47H10 34K09 PDFBibTeX XMLCite \textit{M. M. Raja} et al., Qual. Theory Dyn. Syst. 21, No. 4, Paper No. 150, 41 p. (2022; Zbl 1508.34102) Full Text: DOI
Dineshkumar, C.; Udhayakumar, R.; Vijayakumar, V.; Nisar, Kottakkaran Sooppy; Shukla, Anurag A note concerning to approximate controllability of Atangana-Baleanu fractional neutral stochastic systems with infinite delay. (English) Zbl 1498.34168 Chaos Solitons Fractals 157, Article ID 111916, 17 p. (2022). MSC: 34H05 34H10 93B05 34K37 34K50 26A33 PDFBibTeX XMLCite \textit{C. Dineshkumar} et al., Chaos Solitons Fractals 157, Article ID 111916, 17 p. (2022; Zbl 1498.34168) Full Text: DOI
Sooppy Nisar, Kottakkaran; Ravichandran, C.; Abdel-Aty, Abdel-Haleem; Yahia, Ibrahim S.; Park, Choonkil Case study on total controllability and optimal control of Hilfer neutral non-instantaneous fractional derivative. (English) Zbl 1504.34226 Fractals 30, No. 5, Article ID 2240187, 17 p. (2022). MSC: 34K30 34K34 34K40 34K45 34K35 93B05 47N20 49J27 PDFBibTeX XMLCite \textit{K. Sooppy Nisar} et al., Fractals 30, No. 5, Article ID 2240187, 17 p. (2022; Zbl 1504.34226) Full Text: DOI
Mohan Raja, M.; Vijayakumar, V.; Shukla, Anurag; Nisar, Kottakkaran Sooppy; Baskonus, Haci Mehmet On the approximate controllability results for fractional integrodifferential systems of order \(1 < r < 2\) with sectorial operators. (English) Zbl 1492.93024 J. Comput. Appl. Math. 415, Article ID 114492, 12 p. (2022). MSC: 93B05 34A08 47B12 47H10 93C25 PDFBibTeX XMLCite \textit{M. Mohan Raja} et al., J. Comput. Appl. Math. 415, Article ID 114492, 12 p. (2022; Zbl 1492.93024) Full Text: DOI
Awan, Muhammad Uzair; Kashuri, Artion; Nisar, Kottakkaran Sooppy; Javed, Muhammad Zakria; Iftikhar, Sabah; Kumam, Poom; Chaipunya, Parin New fractional identities, associated novel fractional inequalities with applications to means and error estimations for quadrature formulas. (English) Zbl 1506.26020 J. Inequal. Appl. 2022, Paper No. 3, 34 p. (2022). MSC: 26D15 26A33 26A51 26D10 39B72 PDFBibTeX XMLCite \textit{M. U. Awan} et al., J. Inequal. Appl. 2022, Paper No. 3, 34 p. (2022; Zbl 1506.26020) Full Text: DOI
Jan, Muhammad Naeem; Zaman, Gul; Ahmad, Imtiaz; Ali, Nigar; Nisar, Kottakkaran Sooppy; Abdel-Aty, Abdel-Haleem; Zakarya, M. Existence theory to a class of fractional order hybrid differential equations. (English) Zbl 1492.34010 Fractals 30, No. 1, Article ID 2240022, 9 p. (2022). MSC: 34A08 34A38 34B15 34B18 47N20 PDFBibTeX XMLCite \textit{M. N. Jan} et al., Fractals 30, No. 1, Article ID 2240022, 9 p. (2022; Zbl 1492.34010) Full Text: DOI
Sooppy Nisar, Kottakkaran; Rahman, Mati Ur; Laouini, Ghaylen; Shutaywi, Meshal; Arfan, Muhammad On nonlinear fractional-order mathematical model of food-chain. (English) Zbl 1486.92324 Fractals 30, No. 1, Article ID 2240014, 12 p. (2022). MSC: 92D40 26A33 PDFBibTeX XMLCite \textit{K. Sooppy Nisar} et al., Fractals 30, No. 1, Article ID 2240014, 12 p. (2022; Zbl 1486.92324) Full Text: DOI
Kavitha Williams, W.; Vijayakumar, V.; Udhayakumar, R.; Nisar, Kottakkaran Sooppy A new study on existence and uniqueness of nonlocal fractional delay differential systems of order \(1 < r < 2\) in Banach spaces. (English) Zbl 07775996 Numer. Methods Partial Differ. Equations 37, No. 2, 949-961 (2021). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{W. Kavitha Williams} et al., Numer. Methods Partial Differ. Equations 37, No. 2, 949--961 (2021; Zbl 07775996) Full Text: DOI
Dineshkumar, C.; Udhayakumar, R.; Vijayakumar, V.; Shukla, Anurag; Nisar, Kottakkaran Sooppy A note on approximate controllability for nonlocal fractional evolution stochastic integrodifferential inclusions of order \(r\in(1,2)\) with delay. (English) Zbl 1498.34210 Chaos Solitons Fractals 153, Part 1, Article ID 111565, 16 p. (2021). MSC: 34K37 26A33 34K09 34K30 47D09 47H10 93B05 PDFBibTeX XMLCite \textit{C. Dineshkumar} et al., Chaos Solitons Fractals 153, Part 1, Article ID 111565, 16 p. (2021; Zbl 1498.34210) Full Text: DOI
Vijayakumar, Velusamy; Shukla, Anurag; Nisar, Kottakkaran Sooppy; Jamshed, Wasim; Rezapour, Shahram A note on the approximate controllability of second-order integro-differential evolution control systems via resolvent operators. (English) Zbl 1494.34168 Adv. Difference Equ. 2021, Paper No. 484, 13 p. (2021). MSC: 34K30 47N20 47A10 93B05 PDFBibTeX XMLCite \textit{V. Vijayakumar} et al., Adv. Difference Equ. 2021, Paper No. 484, 13 p. (2021; Zbl 1494.34168) Full Text: DOI
Mohan Raja, M.; Vijayakumar, Velusamy; Shukla, Anurag; Nisar, Kottakkaran Sooppy; Rezapour, Shahram New discussion on nonlocal controllability for fractional evolution system of order \(1 < r < 2\). (English) Zbl 1494.34045 Adv. Difference Equ. 2021, Paper No. 481, 19 p. (2021). MSC: 34A08 26A33 93B05 47H08 47N20 PDFBibTeX XMLCite \textit{M. Mohan Raja} et al., Adv. Difference Equ. 2021, Paper No. 481, 19 p. (2021; Zbl 1494.34045) Full Text: DOI
Kavitha, K.; Nisar, Kottakkaran Sooppy; Shukla, Anurag; Vijayakumar, Velusamy; Rezapour, Shahram A discussion concerning the existence results for the Sobolev-type Hilfer fractional delay integro-differential systems. (English) Zbl 1494.34167 Adv. Difference Equ. 2021, Paper No. 467, 18 p. (2021). MSC: 34K30 34K37 26A33 47H08 47H10 47N20 45J05 PDFBibTeX XMLCite \textit{K. Kavitha} et al., Adv. Difference Equ. 2021, Paper No. 467, 18 p. (2021; Zbl 1494.34167) Full Text: DOI
Mohan Raja, M.; Vijayakumar, V.; Huynh, Le Nhat; Udhayakumar, R.; Nisar, Kottakkaran Sooppy Results on the approximate controllability of fractional hemivariational inequalities of order \(1< r<2\). (English) Zbl 1494.34046 Adv. Difference Equ. 2021, Paper No. 237, 25 p. (2021). MSC: 34A08 93B05 26A33 34K37 PDFBibTeX XMLCite \textit{M. Mohan Raja} et al., Adv. Difference Equ. 2021, Paper No. 237, 25 p. (2021; Zbl 1494.34046) Full Text: DOI
Kavitha, K.; Vijayakumar, V.; Shukla, Anurag; Nisar, Kottakkaran Sooppy; Udhayakumar, R. Results on approximate controllability of Sobolev-type fractional neutral differential inclusions of Clarke subdifferential type. (English) Zbl 1498.34166 Chaos Solitons Fractals 151, Article ID 111264, 8 p. (2021). MSC: 34G25 93B05 PDFBibTeX XMLCite \textit{K. Kavitha} et al., Chaos Solitons Fractals 151, Article ID 111264, 8 p. (2021; Zbl 1498.34166) Full Text: DOI
Rahman, Gauhar; Suwan, Iyad; Nisar, Kottakkaran Sooppy; Abdeljawad, Thabet; Samraiz, Muhammad; Ali, Asad A basic study of a fractional integral operator with extended Mittag-Leffler kernel. (English) Zbl 1509.26004 AIMS Math. 6, No. 11, 12757-12770 (2021). MSC: 26A33 33E12 PDFBibTeX XMLCite \textit{G. Rahman} et al., AIMS Math. 6, No. 11, 12757--12770 (2021; Zbl 1509.26004) Full Text: DOI
Nisar, Kottakkaran Sooppy; Jothimani, K.; Kaliraj, K.; Ravichandran, C. An analysis of controllability results for nonlinear Hilfer neutral fractional derivatives with non-dense domain. (English) Zbl 1498.34215 Chaos Solitons Fractals 146, Article ID 110915, 10 p. (2021). MSC: 34K37 34K30 47D06 47H08 93B05 PDFBibTeX XMLCite \textit{K. S. Nisar} et al., Chaos Solitons Fractals 146, Article ID 110915, 10 p. (2021; Zbl 1498.34215) Full Text: DOI
Dineshkumar, C.; Udhayakumar, R.; Vijayakumar, V.; Nisar, Kottakkaran Sooppy A discussion on the approximate controllability of Hilfer fractional neutral stochastic integro-differential systems. (English) Zbl 1496.34111 Chaos Solitons Fractals 142, Article ID 110472, 13 p. (2021). MSC: 34K30 34A08 47D06 93B05 PDFBibTeX XMLCite \textit{C. Dineshkumar} et al., Chaos Solitons Fractals 142, Article ID 110472, 13 p. (2021; Zbl 1496.34111) Full Text: DOI
Rahman, Gauhar; Nisar, Kottakkaran Sooppy; Khan, Sami Ullah; Baleanu, Dumitru; Vijayakumar, V. On the weighted fractional integral inequalities for Chebyshev functionals. (English) Zbl 1485.26048 Adv. Difference Equ. 2021, Paper No. 18, 19 p. (2021). MSC: 26D15 26A33 26D10 PDFBibTeX XMLCite \textit{G. Rahman} et al., Adv. Difference Equ. 2021, Paper No. 18, 19 p. (2021; Zbl 1485.26048) Full Text: DOI
Rahman, Gauhar; Nisar, Kottakkaran Sooppy; Golamankaneh, Alireza Khalili The nonlocal fractal integral reverse Minkowski’s and other related inequalities on fractal sets. (English) Zbl 1512.26026 Math. Probl. Eng. 2021, Article ID 4764891, 10 p. (2021). MSC: 26D15 26A33 28A80 PDFBibTeX XMLCite \textit{G. Rahman} et al., Math. Probl. Eng. 2021, Article ID 4764891, 10 p. (2021; Zbl 1512.26026) Full Text: DOI
Khan, Owais; Khan, Nabiullah; Choi, Junesang; Nisar, Kottakkaran Sooppy A type of fractional kinetic equations associated with the \((p,q)\)-extended \(\tau\)-hypergeometric and confluent hypergeometric functions. (English) Zbl 1485.33002 Nonlinear Funct. Anal. Appl. 26, No. 2, 381-392 (2021). MSC: 33C10 26A33 33E12 44A10 PDFBibTeX XMLCite \textit{O. Khan} et al., Nonlinear Funct. Anal. Appl. 26, No. 2, 381--392 (2021; Zbl 1485.33002) Full Text: Link
Dineshkumar, C.; Udhayakumar, R.; Vijayakumar, V.; Sooppy Nisar, Kottakkaran; Shukla, Anurag A note on the approximate controllability of Sobolev type fractional stochastic integro-differential delay inclusions with order \(1 < r < 2\). (English) Zbl 07431556 Math. Comput. Simul. 190, 1003-1026 (2021). MSC: 93-XX 60-XX PDFBibTeX XMLCite \textit{C. Dineshkumar} et al., Math. Comput. Simul. 190, 1003--1026 (2021; Zbl 07431556) Full Text: DOI
Jothimani, Kasthurisamy; Kaliraj, Kalimuthu; Panda, Sumati Kumari; Nisar, Kotakkaran Sooppy; Ravichandran, Chokkalingam Results on controllability of non-densely characterized neutral fractional delay differential system. (English) Zbl 1469.93009 Evol. Equ. Control Theory 10, No. 3, 619-631 (2021). MSC: 93B05 34K35 34K37 34K40 47D06 47H10 PDFBibTeX XMLCite \textit{K. Jothimani} et al., Evol. Equ. Control Theory 10, No. 3, 619--631 (2021; Zbl 1469.93009) Full Text: DOI
Rahman, Gauhar; Nisar, Kottakkaran Sooppy; Arshad, Muhammad A new extension and applications of Caputo fractional derivative operator. (English) Zbl 1468.26004 Analysis, München 41, No. 1, 1-11 (2021). MSC: 26A33 33C05 33C15 33C20 33C65 PDFBibTeX XMLCite \textit{G. Rahman} et al., Analysis, München 41, No. 1, 1--11 (2021; Zbl 1468.26004) Full Text: DOI
Kabra, Seema; Nagar, Harish; Nisar, Kottakkaran Sooppy; Suthar, D. L. The Marichev-Saigo-Maeda fractional calculus operators pertaining to the generalized \(k\)-Struve function. (English) Zbl 1524.26012 Appl. Math. Nonlinear Sci. 5, No. 2, 593-602 (2020). MSC: 26A33 33C20 33C65 PDFBibTeX XMLCite \textit{S. Kabra} et al., Appl. Math. Nonlinear Sci. 5, No. 2, 593--602 (2020; Zbl 1524.26012) Full Text: DOI
Iqbal, S.; Samraiz, M.; Abdeljawad, Thabet; Nisar, Kottakkaran Sooppy; Rahman, G.; Adil Khan, M. New generalized Pólya-Szegö and Čebyšev type inequalities with general kernel and measure. (English) Zbl 1487.26040 Adv. Difference Equ. 2020, Paper No. 672, 20 p. (2020). MSC: 26D15 26A33 26D10 PDFBibTeX XMLCite \textit{S. Iqbal} et al., Adv. Difference Equ. 2020, Paper No. 672, 20 p. (2020; Zbl 1487.26040) Full Text: DOI
Nisar, Kottakkaran Sooppy; Rahman, Gauhar; Baleanu, Dumitru; Samraiz, Muhammad; Iqbal, Sajid On the weighted fractional Pólya-Szegö and Chebyshev-types integral inequalities concerning another function. (English) Zbl 1487.26046 Adv. Difference Equ. 2020, Paper No. 623, 17 p. (2020). MSC: 26D15 26D10 26A33 26A51 26D07 PDFBibTeX XMLCite \textit{K. S. Nisar} et al., Adv. Difference Equ. 2020, Paper No. 623, 17 p. (2020; Zbl 1487.26046) Full Text: DOI
Rahman, Gauhar; Mubeen, Shahid; Nisar, Kottakkaran Sooppy On generalized \(\mathtt{k}\)-fractional derivative operator. (English) Zbl 1484.26008 AIMS Math. 5, No. 3, 1936-1945 (2020). MSC: 26A33 33C05 33C15 33C65 PDFBibTeX XMLCite \textit{G. Rahman} et al., AIMS Math. 5, No. 3, 1936--1945 (2020; Zbl 1484.26008) Full Text: DOI
Khan, Owais; Khan, Nabiullah; Nisar, Kottakkaran Sooppy; Saif, Mohd.; Baleanu, Dumitru Fractional calculus of a product of multivariable Srivastava polynomial and multi-index Bessel function in the kernel \(F_3\). (English) Zbl 1485.33004 AIMS Math. 5, No. 2, 1462-1475 (2020). MSC: 33C20 26A33 PDFBibTeX XMLCite \textit{O. Khan} et al., AIMS Math. 5, No. 2, 1462--1475 (2020; Zbl 1485.33004) Full Text: DOI
Bansal, M. K.; Kumar, D.; Singh, J.; Tassaddiq, A.; Nisar, K. S. Some new results for the Srivastava-Luo-Raina \(\mathbb{M}\)-transform pertaining to the incomplete \(H\)-functions. (English) Zbl 1484.33019 AIMS Math. 5, No. 1, 717-722 (2020). MSC: 33C60 33B20 33E20 44A20 PDFBibTeX XMLCite \textit{M. K. Bansal} et al., AIMS Math. 5, No. 1, 717--722 (2020; Zbl 1484.33019) Full Text: DOI
Iqbal, Sajid; Adil Khan, Muhammad; Abdeljawad, Thabet; Samraiz, Muhammad; Rahman, Gauhar; Nisar, Kottakkaran Sooppy New general Grüss-type inequalities over \(\sigma\)-finite measure space with applications. (English) Zbl 1486.26043 Adv. Difference Equ. 2020, Paper No. 468, 15 p. (2020). MSC: 26D15 26D10 26A33 PDFBibTeX XMLCite \textit{S. Iqbal} et al., Adv. Difference Equ. 2020, Paper No. 468, 15 p. (2020; Zbl 1486.26043) Full Text: DOI
Bhatter, Sanjay; Mathur, Amit; Kumar, Devendra; Nisar, Kottakkaran Sooppy; Singh, Jagdev Fractional modified Kawahara equation with Mittag-Leffler law. (English) Zbl 1495.35183 Chaos Solitons Fractals 131, Article ID 109508, 6 p. (2020). MSC: 35R11 26A33 PDFBibTeX XMLCite \textit{S. Bhatter} et al., Chaos Solitons Fractals 131, Article ID 109508, 6 p. (2020; Zbl 1495.35183) Full Text: DOI
Valliammal, N.; Ravichandran, C.; Nisar, Kottakkaran Sooppy Solutions to fractional neutral delay differential nonlocal systems. (English) Zbl 1490.34099 Chaos Solitons Fractals 138, Article ID 109912, 6 p. (2020). MSC: 34K37 37K40 26A33 47N20 PDFBibTeX XMLCite \textit{N. Valliammal} et al., Chaos Solitons Fractals 138, Article ID 109912, 6 p. (2020; Zbl 1490.34099) Full Text: DOI
Kumar, Ashish; Chauhan, Harsh Vardhan Singh; Ravichandran, Chokkalingam; Nisar, Kottakkaran Sooppy; Baleanu, Dumitru Existence of solutions of non-autonomous fractional differential equations with integral impulse condition. (English) Zbl 1486.34155 Adv. Difference Equ. 2020, Paper No. 434, 14 p. (2020). MSC: 34K37 26A33 34A08 47N20 PDFBibTeX XMLCite \textit{A. Kumar} et al., Adv. Difference Equ. 2020, Paper No. 434, 14 p. (2020; Zbl 1486.34155) Full Text: DOI
Rashid, Saima; Hammouch, Zakia; Ashraf, Rehana; Baleanu, Dumitru; Nisar, Kottakkaran Sooppy New quantum estimates in the setting of fractional calculus theory. (English) Zbl 1485.26007 Adv. Difference Equ. 2020, Paper No. 383, 17 p. (2020). MSC: 26A33 26D15 39A13 34A08 33D05 PDFBibTeX XMLCite \textit{S. Rashid} et al., Adv. Difference Equ. 2020, Paper No. 383, 17 p. (2020; Zbl 1485.26007) Full Text: DOI
Rahman, Gauhar; Nisar, Kottakkaran Sooppy; Ghanbari, Behzad; Abdeljawad, Thabet On generalized fractional integral inequalities for the monotone weighted Chebyshev functionals. (English) Zbl 1485.26047 Adv. Difference Equ. 2020, Paper No. 368, 19 p. (2020). MSC: 26D15 26D10 26A33 PDFBibTeX XMLCite \textit{G. Rahman} et al., Adv. Difference Equ. 2020, Paper No. 368, 19 p. (2020; Zbl 1485.26047) Full Text: DOI
Rashid, Saima; Akdemir, Ahmet Ocak; Nisar, Kottakkaran Sooppy; Abdeljawad, Thabet; Rahman, Gauhar New generalized reverse Minkowski and related integral inequalities involving generalized fractional conformable integrals. (English) Zbl 1503.26074 J. Inequal. Appl. 2020, Paper No. 177, 15 p. (2020). MSC: 26D15 26D20 26A33 PDFBibTeX XMLCite \textit{S. Rashid} et al., J. Inequal. Appl. 2020, Paper No. 177, 15 p. (2020; Zbl 1503.26074) Full Text: DOI
Rahman, Gauhar; Nisar, Kottakkaran Sooppy; Rashid, Saima; Abdeljawad, Thabet Certain Grüss-type inequalities via tempered fractional integrals concerning another function. (English) Zbl 1503.26073 J. Inequal. Appl. 2020, Paper No. 147, 18 p. (2020). MSC: 26D15 26A33 34A08 26D10 45E10 PDFBibTeX XMLCite \textit{G. Rahman} et al., J. Inequal. Appl. 2020, Paper No. 147, 18 p. (2020; Zbl 1503.26073) Full Text: DOI
Tassaddiq, Asifa; Rahman, Gauhar; Nisar, Kottakkaran Sooppy; Samraiz, Muhammad Certain fractional conformable inequalities for the weighted and the extended Chebyshev functionals. (English) Zbl 1482.26045 Adv. Difference Equ. 2020, Paper No. 96, 9 p. (2020). MSC: 26D15 26A33 26D10 PDFBibTeX XMLCite \textit{A. Tassaddiq} et al., Adv. Difference Equ. 2020, Paper No. 96, 9 p. (2020; Zbl 1482.26045) Full Text: DOI
Nisar, Kottakkaran Sooppy; Abouzaid, Moheb Saad; Belgacem, Fethi Bin Muhammad Certain image formulae and fractional kinetic equations of generalized \(\mathtt{k} \)-Bessel functions via the Sumudu transform. (English) Zbl 1460.33004 Int. J. Appl. Comput. Math. 6, No. 4, Paper No. 114, 11 p. (2020). MSC: 33C10 26A33 33B15 33E12 34A08 44A20 PDFBibTeX XMLCite \textit{K. S. Nisar} et al., Int. J. Appl. Comput. Math. 6, No. 4, Paper No. 114, 11 p. (2020; Zbl 1460.33004) Full Text: DOI
Ayub, U.; Mubeen, S.; Abdeljawad, T.; Rahman, G.; Nisar, Kottakkaran Sooppy The new Mittag-Leffler function and its applications. (English) Zbl 1489.33016 J. Math. 2020, Article ID 2463782, 8 p. (2020). MSC: 33E12 44A20 PDFBibTeX XMLCite \textit{U. Ayub} et al., J. Math. 2020, Article ID 2463782, 8 p. (2020; Zbl 1489.33016) Full Text: DOI
Rahman, Gauhar; Nisar, Kottakkaran Sooppy; Abdeljawad, Thabet; Samraiz, Muhammad Some new tempered fractional Pólya-Szegö and Chebyshev-type inequalities with respect to another function. (English) Zbl 1489.26046 J. Math. 2020, Article ID 9858671, 14 p. (2020). MSC: 26D15 26A33 PDFBibTeX XMLCite \textit{G. Rahman} et al., J. Math. 2020, Article ID 9858671, 14 p. (2020; Zbl 1489.26046) Full Text: DOI
Kashuri, Artion; Iqbal, Sajid; Butt, Saad Ihsan; Nasir, Jamshed; Nisar, Kottakkaran Sooppy; Abdeljawad, Thabet Trapezium-type inequalities for \(k\)-fractional integral via new exponential-type convexity and their applications. (English) Zbl 1489.26038 J. Math. 2020, Article ID 8672710, 12 p. (2020). MSC: 26D15 26A33 26A51 PDFBibTeX XMLCite \textit{A. Kashuri} et al., J. Math. 2020, Article ID 8672710, 12 p. (2020; Zbl 1489.26038) Full Text: DOI
Rashid, Saima; Ashraf, Rehana; Nisar, Kottakkaran Sooppy; Abdeljawad, Thabet Estimation of integral inequalities using the generalized fractional derivative operator in the Hilfer sense. (English) Zbl 1489.26047 J. Math. 2020, Article ID 1626091, 15 p. (2020). MSC: 26D15 26A33 PDFBibTeX XMLCite \textit{S. Rashid} et al., J. Math. 2020, Article ID 1626091, 15 p. (2020; Zbl 1489.26047) Full Text: DOI
Rashid, Saima; Khalid, Aasma; Rahman, Gauhar; Nisar, Kottakkaran Sooppy; Chu, Yu-Ming On new modifications governed by quantum Hahn’s integral operator pertaining to fractional calculus. (English) Zbl 1457.26008 J. Funct. Spaces 2020, Article ID 8262860, 12 p. (2020). MSC: 26A33 PDFBibTeX XMLCite \textit{S. Rashid} et al., J. Funct. Spaces 2020, Article ID 8262860, 12 p. (2020; Zbl 1457.26008) Full Text: DOI
Xu, Li; Chu, Yu-Ming; Rashid, Saima; El-Deeb, A. A.; Nisar, Kottakkaran Sooppy On new unified bounds for a family of functions via fractional \(q\)-calculus theory. (English) Zbl 1457.26009 J. Funct. Spaces 2020, Article ID 4984612, 9 p. (2020). MSC: 26A33 26E70 PDFBibTeX XMLCite \textit{L. Xu} et al., J. Funct. Spaces 2020, Article ID 4984612, 9 p. (2020; Zbl 1457.26009) Full Text: DOI
Rahman, Gauhar; Nisar, Kottakkaran Sooppy; Ghaffar, Abdul; Qi, Feng Some inequalities of the Grüss type for conformable \(k\)-fractional integral operators. (English) Zbl 1434.26065 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 114, No. 1, Paper No. 9 (2020). MSC: 26D15 26A33 26D10 33B20 PDFBibTeX XMLCite \textit{G. Rahman} et al., Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 114, No. 1, Paper No. 9 (2020; Zbl 1434.26065) Full Text: DOI
Khan, Waseem Ahmad; Nisar, Kottakkaran Sooppy; Ahmad, Moin Euler type integral operator involving \(k\)-Mittag-Leffler function. (English) Zbl 1437.33020 Bol. Soc. Parana. Mat. (3) 38, No. 5, 165-174 (2020). Reviewer: Chrysoula G. Kokologiannaki (Patras) MSC: 33E12 33C45 PDFBibTeX XMLCite \textit{W. A. Khan} et al., Bol. Soc. Parana. Mat. (3) 38, No. 5, 165--174 (2020; Zbl 1437.33020) Full Text: arXiv Link
Saif, M.; Khan, A. H.; Nisar, K. S. Integral transform of extended Mittag Leffler function in term of Fox Wright function. (English) Zbl 1430.33004 Palest. J. Math. 9, No. 1, 456-463 (2020). MSC: 33C20 33B15 PDFBibTeX XMLCite \textit{M. Saif} et al., Palest. J. Math. 9, No. 1, 456--463 (2020; Zbl 1430.33004) Full Text: Link
Kumar, Sunil; Kumar, Amit; Momani, Shaher; Aldhaifallah, Mujahed; Nisar, Kottakkaran Sooppy Numerical solutions of nonlinear fractional model arising in the appearance of the strip patterns in two-dimensional systems. (English) Zbl 1487.65169 Adv. Difference Equ. 2019, Paper No. 413, 19 p. (2019). MSC: 65M99 35R11 65M22 PDFBibTeX XMLCite \textit{S. Kumar} et al., Adv. Difference Equ. 2019, Paper No. 413, 19 p. (2019; Zbl 1487.65169) Full Text: DOI
Shaikh, Amjad S.; Sooppy Nisar, Kottakkaran Transmission dynamics of fractional order Typhoid fever model using Caputo-Fabrizio operator. (English) Zbl 1483.34017 Chaos Solitons Fractals 128, 355-365 (2019). MSC: 34A08 92D30 34A12 34C60 37N25 37M05 PDFBibTeX XMLCite \textit{A. S. Shaikh} and \textit{K. Sooppy Nisar}, Chaos Solitons Fractals 128, 355--365 (2019; Zbl 1483.34017) Full Text: DOI
Rahman, Gauhar; Khan, Aftab; Abdeljawad, Thabet; Nisar, Kottakkaran Sooppy The Minkowski inequalities via generalized proportional fractional integral operators. (English) Zbl 1485.26026 Adv. Difference Equ. 2019, Paper No. 287, 14 p. (2019). MSC: 26D10 26A33 45P05 PDFBibTeX XMLCite \textit{G. Rahman} et al., Adv. Difference Equ. 2019, Paper No. 287, 14 p. (2019; Zbl 1485.26026) Full Text: DOI
Qi, Feng; Nisar, Kottakkaran Sooppy Some integral transforms of the generalized \(k\)-Mittag-Leffler function. (English) Zbl 1499.33081 Publ. Inst. Math., Nouv. Sér. 106(120), 125-133 (2019). MSC: 33E12 33C20 44A20 65R10 PDFBibTeX XMLCite \textit{F. Qi} and \textit{K. S. Nisar}, Publ. Inst. Math., Nouv. Sér. 106(120), 125--133 (2019; Zbl 1499.33081) Full Text: DOI
Nisar, Kottakkaran Sooppy; Rahman, Gauhar; Mehrez, Khaled Chebyshev type inequalities via generalized fractional conformable integrals. (English) Zbl 1499.26154 J. Inequal. Appl. 2019, Paper No. 245, 9 p. (2019). MSC: 26D15 26A33 26D10 33B20 PDFBibTeX XMLCite \textit{K. S. Nisar} et al., J. Inequal. Appl. 2019, Paper No. 245, 9 p. (2019; Zbl 1499.26154) Full Text: DOI
Rahman, Gauhar; Abdeljawad, Thabet; Khan, Aftab; Nisar, Kottakkaran Sooppy Some fractional proportional integral inequalities. (English) Zbl 1499.26171 J. Inequal. Appl. 2019, Paper No. 244, 13 p. (2019). MSC: 26D15 26A33 26D10 PDFBibTeX XMLCite \textit{G. Rahman} et al., J. Inequal. Appl. 2019, Paper No. 244, 13 p. (2019; Zbl 1499.26171) Full Text: DOI
Haq, S.; Nisar, K. S.; Khan, A. H.; Suthar, D. L. Certain integral transforms of the generalized Lommel-Wright function. (English) Zbl 1442.33002 Cubo 21, No. 1, 49-60 (2019). Reviewer: Thomas Ernst (Uppsala) MSC: 33B20 33B15 65R10 33C20 PDFBibTeX XMLCite \textit{S. Haq} et al., Cubo 21, No. 1, 49--60 (2019; Zbl 1442.33002) Full Text: DOI
Rahman, Gauhar; Nisar, Kottakkaran Sooppy; Choi, Junesang; Mubeen, Shahid; Arshad, Muhammad Pathway fractional integral formulas involving extended Mittag-Leffler functions in the kernel. (English) Zbl 1434.33027 Kyungpook Math. J. 59, No. 1, 125-134 (2019). MSC: 33E12 05C38 26A33 PDFBibTeX XMLCite \textit{G. Rahman} et al., Kyungpook Math. J. 59, No. 1, 125--134 (2019; Zbl 1434.33027) Full Text: DOI
Nisar, K. S.; Purohit, S. D.; Suthar, D. L.; Singh, Jagdev Fractional order integration and certain integrals of generalized multiindex Bessel function. (English) Zbl 1429.33012 Singh, Jagdev (ed.) et al., Mathematical modelling, applied analysis and computation. Selected papers of the first international conference, ICMMAAC 2018, JECRC University, Jaipur, India, July 6–8, 2018. Singapore: Springer. Springer Proc. Math. Stat. 272, 155-167 (2019). MSC: 33C20 33B15 26A33 PDFBibTeX XMLCite \textit{K. S. Nisar} et al., Springer Proc. Math. Stat. 272, 155--167 (2019; Zbl 1429.33012) Full Text: DOI
Nisar, Kottakkaran Sooppy; Mondal, Saiful Rahman; Wang, Guotao Pathway fractional integral operators involving \(\mathtt{k}\)-Struve function. (English) Zbl 1438.26014 Afr. Mat. 30, No. 7-8, 1267-1274 (2019). MSC: 26A33 33E20 PDFBibTeX XMLCite \textit{K. S. Nisar} et al., Afr. Mat. 30, No. 7--8, 1267--1274 (2019; Zbl 1438.26014) Full Text: DOI
Nisar, Kottakkaran Sooppy; Rahman, Gauhar; Tomovski, Zivorad On a certain extension of the Riemann-Liouville fractional derivative operator. (English) Zbl 1426.33016 Commun. Korean Math. Soc. 34, No. 2, 507-522 (2019). MSC: 33C15 26A33 33C05 33C65 PDFBibTeX XMLCite \textit{K. S. Nisar} et al., Commun. Korean Math. Soc. 34, No. 2, 507--522 (2019; Zbl 1426.33016) Full Text: DOI arXiv
Choi, Junesang; Nisar, Kottakkaran Sooppy Certain families of integral formulas involving Struve functions. (English) Zbl 1424.33012 Bol. Soc. Parana. Mat. (3) 37, No. 3, 27-35 (2019). MSC: 33C10 33E12 44A10 44A20 PDFBibTeX XMLCite \textit{J. Choi} and \textit{K. S. Nisar}, Bol. Soc. Parana. Mat. (3) 37, No. 3, 27--35 (2019; Zbl 1424.33012) Full Text: Link
Nisar, Kottakkaran Sooppy; Rahman, Gauhar; Choi, Junesang; Mubeen, Shahid; Arshad, Muhammad Certain Gronwall type inequalities associated with Riemann-Liouville \(k\)- and Hadamard \(k\)-fractional derivatives and their applications. (English) Zbl 1426.26019 East Asian Math. J. 34, No. 3, 249-263 (2018). MSC: 26A33 26D10 26D15 PDFBibTeX XMLCite \textit{K. S. Nisar} et al., East Asian Math. J. 34, No. 3, 249--263 (2018; Zbl 1426.26019) Full Text: DOI
Bohner, Martin; Rahman, Gauhar; Mubeen, Shahid; Nisar, Kottakkaran Sooppy A further extension of the extended Riemann-Liouville fractional derivative operator. (English) Zbl 1424.33014 Turk. J. Math. 42, No. 5, 2631-2642 (2018). MSC: 33C15 33C05 PDFBibTeX XMLCite \textit{M. Bohner} et al., Turk. J. Math. 42, No. 5, 2631--2642 (2018; Zbl 1424.33014) Full Text: DOI
Arshad, Muhammad; Choi, Junesang; Mubeen, Shahid; Nisar, Kottakkaran Sooppy; Rahman, Gauhar A new extension of the Mittag-Leffler function. (English) Zbl 1396.33037 Commun. Korean Math. Soc. 33, No. 2, 549-560 (2018). MSC: 33E12 26A33 33B15 33B20 33C05 33C60 PDFBibTeX XMLCite \textit{M. Arshad} et al., Commun. Korean Math. Soc. 33, No. 2, 549--560 (2018; Zbl 1396.33037) Full Text: DOI
Rahman, G.; Ghaffar, A.; Nisar, K. S.; Azeema The \((k, s)\)-fractional calculus of class of a function. (English) Zbl 1393.26007 Honam Math. J. 40, No. 1, 125-138 (2018). MSC: 26A33 33B15 33C45 PDFBibTeX XMLCite \textit{G. Rahman} et al., Honam Math. J. 40, No. 1, 125--138 (2018; Zbl 1393.26007) Full Text: DOI
Nisar, Kottakkaran Sooppy; Rahman, Gauhar; Choi, Junesang; Mubeen, Shahid; Arshad, Muhammad Generalized hypergeometric \(k\)-functions via \((k,s)\)-fractional calculus. (English) Zbl 1412.33012 J. Nonlinear Sci. Appl. 10, No. 4, 1791-1800 (2017). MSC: 33C20 33E20 26A33 26A99 PDFBibTeX XMLCite \textit{K. S. Nisar} et al., J. Nonlinear Sci. Appl. 10, No. 4, 1791--1800 (2017; Zbl 1412.33012) Full Text: DOI
Nisar, K. S.; Rahman, G.; Baleanu, D.; Mubeen, S.; Arshad, M. The \((k,s)\)-fractional calculus of \(k\)-Mittag-Leffler function. (English) Zbl 1422.26005 Adv. Difference Equ. 2017, Paper No. 118, 12 p. (2017); erratum ibid. 2017, Paper No. 194, 2 p. (2017). MSC: 26A33 33E12 26D15 44A10 PDFBibTeX XMLCite \textit{K. S. Nisar} et al., Adv. Difference Equ. 2017, Paper No. 118, 12 p. (2017; Zbl 1422.26005) Full Text: DOI
Nisar, Kottakkaran Sooppy On the generalized modified \(k\)-Bessel functions of the first kind. (English) Zbl 1382.33011 Commun. Korean Math. Soc. 32, No. 4, 909-914 (2017). MSC: 33C10 33B15 33C20 PDFBibTeX XMLCite \textit{K. S. Nisar}, Commun. Korean Math. Soc. 32, No. 4, 909--914 (2017; Zbl 1382.33011) Full Text: DOI
Nisar, Kottakkaran Sooppy; Eata, Ashraf Fetoh; Al-Dhaifallah, Mujahed; Choi, Junesang Fractional calculus of generalized \(k\)-Mittag-Leffler function and its applications to statistical distribution. (English) Zbl 1419.33001 Adv. Difference Equ. 2016, Paper No. 304, 17 p. (2016). MSC: 33C10 44A10 44A20 33E12 26A33 PDFBibTeX XMLCite \textit{K. S. Nisar} et al., Adv. Difference Equ. 2016, Paper No. 304, 17 p. (2016; Zbl 1419.33001) Full Text: DOI
Nisar, K. S.; Mondal, S. R.; Agarwal, P. Composition formulas of Bessel-Atruve kernel function. (English) Zbl 1400.33007 Math. Probl. Eng. 2016, Article ID 9560346, 8 p. (2016). MSC: 33C10 PDFBibTeX XMLCite \textit{K. S. Nisar} et al., Math. Probl. Eng. 2016, Article ID 9560346, 8 p. (2016; Zbl 1400.33007) Full Text: DOI arXiv
Mondal, Saiful R.; Nisar, K. S. Marichev-Saigo-Maeda fractional integration operators involving generalized Bessel functions. (English) Zbl 1407.33008 Math. Probl. Eng. 2014, Article ID 274093, 11 p. (2014). MSC: 33C10 26A33 PDFBibTeX XMLCite \textit{S. R. Mondal} and \textit{K. S. Nisar}, Math. Probl. Eng. 2014, Article ID 274093, 11 p. (2014; Zbl 1407.33008) Full Text: DOI arXiv