Shah, Anwar; Ali Khan, Rahmat; Khan, Hasib A fractional-order hybrid system of differential equations: existence theory and numerical solutions. (English) Zbl 07780634 Math. Methods Appl. Sci. 45, No. 7, 4024-4034 (2022). MSC: 34A38 34A08 34A12 47H10 65L05 PDFBibTeX XMLCite \textit{A. Shah} et al., Math. Methods Appl. Sci. 45, No. 7, 4024--4034 (2022; Zbl 07780634) Full Text: DOI
Gul, Shaista; Khan, Rahmat Ali Existence results for a system of boundary value problems for hybrid fractional differential equations. (English) Zbl 1499.34153 Differ. Equ. Appl. 14, No. 2, 279-290 (2022). MSC: 34B15 34A38 34A08 PDFBibTeX XMLCite \textit{S. Gul} and \textit{R. A. Khan}, Differ. Equ. Appl. 14, No. 2, 279--290 (2022; Zbl 1499.34153) Full Text: DOI
Khan, Rahmat Ali; Gul, Shaista; Jarad, Fahd; Khan, Hasib Existence results for a general class of sequential hybrid fractional differential equations. (English) Zbl 1494.34037 Adv. Difference Equ. 2021, Paper No. 284, 14 p. (2021). MSC: 34A08 34A38 34B15 26A33 34B10 PDFBibTeX XMLCite \textit{R. A. Khan} et al., Adv. Difference Equ. 2021, Paper No. 284, 14 p. (2021; Zbl 1494.34037) Full Text: DOI
Khan, Rahmat Ali; Li, Yongjin; Jarad, Fahd Exact analytical solutions of fractional order telegraph equations via triple Laplace transform. (English) Zbl 1484.35383 Discrete Contin. Dyn. Syst., Ser. S 14, No. 7, 2387-2397 (2021). MSC: 35R11 26A33 34A08 35A22 35C05 35L20 PDFBibTeX XMLCite \textit{R. A. Khan} et al., Discrete Contin. Dyn. Syst., Ser. S 14, No. 7, 2387--2397 (2021; Zbl 1484.35383) Full Text: DOI
Iqbal, Muhammad; Shah, Kamal; Khan, Rahmat Ali On using coupled fixed-point theorems for mild solutions to coupled system of multipoint boundary value problems of nonlinear fractional hybrid pantograph differential equations. (English) Zbl 1483.34103 Math. Methods Appl. Sci. 44, No. 10, 8113-8124 (2021). Reviewer: Syed Abbas (Mandi) MSC: 34K30 34K37 34K10 47N20 34K34 PDFBibTeX XMLCite \textit{M. Iqbal} et al., Math. Methods Appl. Sci. 44, No. 10, 8113--8124 (2021; Zbl 1483.34103) Full Text: DOI
Shah, Anwar; Khan, Rahmat Ali; Khan, Aziz; Khan, Hasib; Gómez-Aguilar, José Francisco Investigation of a system of nonlinear fractional order hybrid differential equations under usual boundary conditions for existence of solution. (English) Zbl 1471.34022 Math. Methods Appl. Sci. 44, No. 2, 1628-1638 (2021). MSC: 34A08 34B15 47N20 34A38 PDFBibTeX XMLCite \textit{A. Shah} et al., Math. Methods Appl. Sci. 44, No. 2, 1628--1638 (2021; Zbl 1471.34022) Full Text: DOI
Ullah, Atta; Shah, Kamal; Abdeljawad, Thabet; Khan, Rahmat Ali; Mahariq, Ibrahim Study of impulsive fractional differential equation under Robin boundary conditions by topological degree method. (English) Zbl 1495.34012 Bound. Value Probl. 2020, Paper No. 98, 17 p. (2020). MSC: 34A08 34A37 34B37 47N20 PDFBibTeX XMLCite \textit{A. Ullah} et al., Bound. Value Probl. 2020, Paper No. 98, 17 p. (2020; Zbl 1495.34012) Full Text: DOI
Nazir, Ghazala; Shah, Kamal; Debbouche, Amar; Khan, Rahmat Ali Study of HIV mathematical model under nonsingular kernel type derivative of fractional order. (English) Zbl 1490.92040 Chaos Solitons Fractals 139, Article ID 110095, 8 p. (2020). MSC: 92C60 34A08 92D30 92C50 26A33 PDFBibTeX XMLCite \textit{G. Nazir} et al., Chaos Solitons Fractals 139, Article ID 110095, 8 p. (2020; Zbl 1490.92040) Full Text: DOI
Sher, Muhammad; Shah, Kamal; Chu, Yu-Ming; Khan, Rahmat Ali Applicability of topological degree theory to evolution equation with proportional delay. (English) Zbl 1487.34153 Fractals 28, No. 8, Article ID 2040028, 8 p. (2020). MSC: 34K37 34K27 47N20 PDFBibTeX XMLCite \textit{M. Sher} et al., Fractals 28, No. 8, Article ID 2040028, 8 p. (2020; Zbl 1487.34153) Full Text: DOI
Nazir, Ghazala; Shah, Kamal; Abdeljawad, Thabet; Khalil, Hammad; Khan, Rahmat Ali Using a prior estimate method to investigate sequential hybrid fractional differential equations. (English) Zbl 1487.34032 Fractals 28, No. 8, Article ID 2040004, 12 p. (2020). MSC: 34A08 34B15 34A38 34D10 47N20 PDFBibTeX XMLCite \textit{G. Nazir} et al., Fractals 28, No. 8, Article ID 2040004, 12 p. (2020; Zbl 1487.34032) Full Text: DOI
Nazir, Ghazala; Shah, Kamal; Alrabaiah, Hussam; Khalil, Hammad; Khan, Rahmat Ali Fractional dynamical analysis of measles spread model under vaccination corresponding to nonsingular fractional order derivative. (English) Zbl 1482.92050 Adv. Difference Equ. 2020, Paper No. 171, 15 p. (2020). MSC: 92C60 92D30 26A33 34A08 65L05 34A25 PDFBibTeX XMLCite \textit{G. Nazir} et al., Adv. Difference Equ. 2020, Paper No. 171, 15 p. (2020; Zbl 1482.92050) Full Text: DOI
Khan, Hasib; Jafari, Hossein; Baleanu, Dumitru; Khan, Rahmat Ali; Khan, Aziz On iterative solutions and error estimations of a coupled system of fractional order differential-integral equations with initial and boundary conditions. (English) Zbl 1474.45077 Differ. Equ. Dyn. Syst. 28, No. 4, 1059-1071 (2020). MSC: 45L05 45J05 65R20 PDFBibTeX XMLCite \textit{H. Khan} et al., Differ. Equ. Dyn. Syst. 28, No. 4, 1059--1071 (2020; Zbl 1474.45077) Full Text: DOI
Samina; Shah, Kamal; Khan, Rahmat Ali Stability theory to a coupled system of nonlinear fractional hybrid differential equations. (English) Zbl 1450.34011 Indian J. Pure Appl. Math. 51, No. 2, 669-687 (2020). MSC: 34A08 34A38 34D10 47N20 PDFBibTeX XMLCite \textit{Samina} et al., Indian J. Pure Appl. Math. 51, No. 2, 669--687 (2020; Zbl 1450.34011) Full Text: DOI
Kevlahan, N. K. -R.; Khan, R. A. Second order adjoint sensitivity analysis in variational data assimilation for tsunami models. arXiv:2003.10210 Preprint, arXiv:2003.10210 [math.NA] (2020). BibTeX Cite \textit{N. K. R. Kevlahan} and \textit{R. A. Khan}, ``Second order adjoint sensitivity analysis in variational data assimilation for tsunami models'', Preprint, arXiv:2003.10210 [math.NA] (2020) Full Text: arXiv OA License
Kevlahan, N. K. -R.; Khan, R. A. Convergence analysis of a variational data assimilation scheme for bathymetry detection from surface wave observations. arXiv:2003.04939 Preprint, arXiv:2003.04939 [physics.flu-dyn] (2020). BibTeX Cite \textit{N. K. R. Kevlahan} and \textit{R. A. Khan}, ``Convergence analysis of a variational data assimilation scheme for bathymetry detection from surface wave observations'', Preprint, arXiv:2003.04939 [physics.flu-dyn] (2020) Full Text: arXiv OA License
Jamil, M.; Khan, R. A.; Shah, K. Existence theory to a class of boundary value problems of hybrid fractional sequential integro-differential equations. (English) Zbl 1503.34144 Bound. Value Probl. 2019, Paper No. 77, 12 p. (2019). MSC: 34K37 34B10 34K10 PDFBibTeX XMLCite \textit{M. Jamil} et al., Bound. Value Probl. 2019, Paper No. 77, 12 p. (2019; Zbl 1503.34144) Full Text: DOI
Ali, Amjad; Erturk, Vedat Suat; Zeb, Anwar; Khan, Rahmat Ali Numerical solution of fractional order immunology and AIDS model via Laplace transform Adomian decomposition method. (English) Zbl 1480.92043 J. Fract. Calc. Appl. 10, No. 1, 242-252 (2019). MSC: 92C32 35R11 65M55 PDFBibTeX XMLCite \textit{A. Ali} et al., J. Fract. Calc. Appl. 10, No. 1, 242--252 (2019; Zbl 1480.92043) Full Text: Link
Khalil, Hammad; Khan, Rahmat Ali; Baleanu, Dumitru; Rashidi, Mohammad Mehdi Some new operational matrices and its application to fractional order Poisson equations with integral type boundary constrains. (English) Zbl 1442.35513 Comput. Math. Appl. 78, No. 6, 1826-1837 (2019). MSC: 35R11 PDFBibTeX XMLCite \textit{H. Khalil} et al., Comput. Math. Appl. 78, No. 6, 1826--1837 (2019; Zbl 1442.35513) Full Text: DOI
Shah, Kamal; Gul, Zamin; Li, Yongjin; Khan, Rahmat Ali Hyers-Ulam’s stability results to a three-point boundary value problem of nonlinear fractional order differential equations. (English) Zbl 1451.34015 Anastassiou, George A. (ed.) et al., Frontiers in functional equations and analytic inequalities. Cham: Springer. 45-71 (2019). MSC: 34A08 34B10 34D10 47N20 PDFBibTeX XMLCite \textit{K. Shah} et al., in: Frontiers in functional equations and analytic inequalities. Cham: Springer. 45--71 (2019; Zbl 1451.34015) Full Text: DOI
Kevlahan, N. K.-R.; Khan, R.; Protas, B. On the convergence of data assimilation for the one-dimensional shallow water equations with sparse observations. (English) Zbl 1437.65103 Adv. Comput. Math. 45, No. 5-6, 3195-3216 (2019). MSC: 65M06 65M08 65K10 35L05 35Q35 35Q93 86A05 35Q86 93B07 PDFBibTeX XMLCite \textit{N. K. R. Kevlahan} et al., Adv. Comput. Math. 45, No. 5--6, 3195--3216 (2019; Zbl 1437.65103) Full Text: DOI arXiv
Samina; Ullah, Ibrar; Khan, Rahmat Ali; Shah, Kamal On using topological degree theory to investigate a coupled system of non linear hybrid differential equations. (English) Zbl 1463.34021 Comput. Methods Differ. Equ. 7, No. 2, 224-234 (2019). MSC: 34A08 34A12 47N20 PDFBibTeX XMLCite \textit{Samina} et al., Comput. Methods Differ. Equ. 7, No. 2, 224--234 (2019; Zbl 1463.34021) Full Text: Link
Samina; Shah, Kamal; Khan, Rahmat Ali; Baleanu, Dumitru Study of implicit type coupled system of non-integer order differential equations with antiperiodic boundary conditions. (English) Zbl 1417.34022 Math. Methods Appl. Sci. 42, No. 6, 2033-2042 (2019). MSC: 34A08 34B27 34B15 47N20 34D10 PDFBibTeX XMLCite \textit{Samina} et al., Math. Methods Appl. Sci. 42, No. 6, 2033--2042 (2019; Zbl 1417.34022) Full Text: DOI
Khan, Hasib; Abdeljawad, Thabet; Aslam, Muhammad; Khan, Rahmat Ali; Khan, Aziz Existence of positive solution and Hyers-Ulam stability for a nonlinear singular-delay-fractional differential equation. (English) Zbl 1459.34024 Adv. Difference Equ. 2019, Paper No. 104, 13 p. (2019). MSC: 34A08 26A33 34B18 34B15 34B16 PDFBibTeX XMLCite \textit{H. Khan} et al., Adv. Difference Equ. 2019, Paper No. 104, 13 p. (2019; Zbl 1459.34024) Full Text: DOI
Kumam, Wiyada; Bahadur Zada, Mian; Shah, Kamal; Khan, Rahmat Ali Investigating a coupled hybrid system of nonlinear fractional differential equations. (English) Zbl 1417.34014 Discrete Dyn. Nat. Soc. 2018, Article ID 5937572, 12 p. (2018). MSC: 34A08 PDFBibTeX XMLCite \textit{W. Kumam} et al., Discrete Dyn. Nat. Soc. 2018, Article ID 5937572, 12 p. (2018; Zbl 1417.34014) Full Text: DOI
Khan, Hasib; Tunç, Cemil; Khan, Rahmat Ali; Shirzoi, Akhtyar Gul; Khan, Aziz Approximate analytical solutions of space-fractional telegraph equations by Sumudu adomian decomposition method. (English) Zbl 1407.35213 Appl. Appl. Math. 13, No. 2, 781-802 (2018). MSC: 35R11 35A22 33E12 PDFBibTeX XMLCite \textit{H. Khan} et al., Appl. Appl. Math. 13, No. 2, 781--802 (2018; Zbl 1407.35213) Full Text: Link
Shah, Kamal; Wang, Jinrong; Khalil, Hammad; Khan, Rahmat Ali Existence and numerical solutions of a coupled system of integral BVP for fractional differential equations. (English) Zbl 1446.65053 Adv. Difference Equ. 2018, Paper No. 149, 21 p. (2018). MSC: 65L10 34B18 34B10 34A08 26A33 PDFBibTeX XMLCite \textit{K. Shah} et al., Adv. Difference Equ. 2018, Paper No. 149, 21 p. (2018; Zbl 1446.65053) Full Text: DOI
Zada, Mian Bahadur; Shah, Kamal; Khan, Rahmat Ali Existence theory to a coupled system of higher order fractional hybrid differential equations by topological degree theory. (English) Zbl 1400.34015 Int. J. Appl. Comput. Math. 4, No. 4, Paper No. 102, 19 p. (2018). MSC: 34A08 34B10 47N20 34A38 PDFBibTeX XMLCite \textit{M. B. Zada} et al., Int. J. Appl. Comput. Math. 4, No. 4, Paper No. 102, 19 p. (2018; Zbl 1400.34015) Full Text: DOI
Shah, Kamal; Khalil, Hammad; Khan, Rahmat Ali Analytical solutions of fractional order diffusion equations by natural transform method. (English) Zbl 1397.35339 Iran. J. Sci. Technol., Trans. A, Sci. 42, No. 3, 1479-1490 (2018). MSC: 35R11 PDFBibTeX XMLCite \textit{K. Shah} et al., Iran. J. Sci. Technol., Trans. A, Sci. 42, No. 3, 1479--1490 (2018; Zbl 1397.35339) Full Text: DOI
Khan, R.; Williams, P.; Riseborough, P.; Rao, A.; Hill, R. Fault detection and identification–A filter investigation. (English) Zbl 1390.93727 Int. J. Robust Nonlinear Control 28, No. 5, 1852-1870 (2018). MSC: 93E03 93B35 93C10 93B07 93E11 93E10 PDFBibTeX XMLCite \textit{R. Khan} et al., Int. J. Robust Nonlinear Control 28, No. 5, 1852--1870 (2018; Zbl 1390.93727) Full Text: DOI arXiv
Shah, Kamal; Khan, Rahmat Ali Iterative scheme for a coupled system of fractional-order differential equations with three-point boundary conditions. (English) Zbl 1395.34009 Math. Methods Appl. Sci. 41, No. 3, 1047-1053 (2018). Reviewer: Thanin Sitthiwirattham (Bangkok) MSC: 34A08 34A45 34B10 PDFBibTeX XMLCite \textit{K. Shah} and \textit{R. A. Khan}, Math. Methods Appl. Sci. 41, No. 3, 1047--1053 (2018; Zbl 1395.34009) Full Text: DOI
Ali, Nigar; Fatima, Bi Bi; Shah, Kamal; Khan, Rahmat Ali Hyers-Ulam stability of a class of nonlocal boundary value problem having triple solutions. (English) Zbl 1384.34009 Int. J. Appl. Comput. Math. 4, No. 1, Paper No. 29, 12 p. (2018). MSC: 34A08 34B27 34D10 34B10 47N20 PDFBibTeX XMLCite \textit{N. Ali} et al., Int. J. Appl. Comput. Math. 4, No. 1, Paper No. 29, 12 p. (2018; Zbl 1384.34009) Full Text: DOI
Khan, Tahir; Shah, Kamal; Khan, Amir; Khan, Rahmat Ali Solution of fractional order heat equation via triple Laplace transform in 2 dimensions. (English) Zbl 1381.35223 Math. Methods Appl. Sci. 41, No. 2, 818-825 (2018). MSC: 35R11 35L05 PDFBibTeX XMLCite \textit{T. Khan} et al., Math. Methods Appl. Sci. 41, No. 2, 818--825 (2018; Zbl 1381.35223) Full Text: DOI
Kumam, Poom; Ali, Amjad; Shah, Kamal; Khan, Rahmat Ali Existence results and Hyers-Ulam stability to a class of nonlinear arbitrary order differential equations. (English) Zbl 1412.34035 J. Nonlinear Sci. Appl. 10, No. 6, 2986-2997 (2017). MSC: 34A08 35R11 26A33 PDFBibTeX XMLCite \textit{P. Kumam} et al., J. Nonlinear Sci. Appl. 10, No. 6, 2986--2997 (2017; Zbl 1412.34035) Full Text: DOI
Ali, Amjad; Shah, Kamal; Khan, Rahmat Ali Existence of solution to a coupled system of hybrid fractional differential equations. (English) Zbl 1411.34010 Bull. Math. Anal. Appl. 9, No. 1, 9-18 (2017). MSC: 34A08 34A38 34B15 47N20 PDFBibTeX XMLCite \textit{A. Ali} et al., Bull. Math. Anal. Appl. 9, No. 1, 9--18 (2017; Zbl 1411.34010) Full Text: Link
Shah, Kamal; Zeb, Salman; Khan, Rahmat Ali Existence of triple positive solutions for boundary value problem of nonlinear fractional differential equations. (English) Zbl 1424.34042 Comput. Methods Differ. Equ. 5, No. 2, 158-169 (2017). MSC: 34A08 34B18 34B27 47N20 34B10 PDFBibTeX XMLCite \textit{K. Shah} et al., Comput. Methods Differ. Equ. 5, No. 2, 158--169 (2017; Zbl 1424.34042) Full Text: Link
Li, Yongjin; Shah, Kamal; Khan, Rahmat Ali Iterative technique for coupled integral boundary value problem of non-integer order differential equations. (English) Zbl 1422.34051 Adv. Difference Equ. 2017, Paper No. 251, 14 p. (2017). MSC: 34A08 26A33 34A45 34B18 34B15 65L05 PDFBibTeX XMLCite \textit{Y. Li} et al., Adv. Difference Equ. 2017, Paper No. 251, 14 p. (2017; Zbl 1422.34051) Full Text: DOI
Shah, Kamal; Khan, Rahmat Ali Study of solution to a toppled system of fractional differential equations with integral boundary conditions. (English) Zbl 1397.34026 Int. J. Appl. Comput. Math. 3, No. 3, 2369-2388 (2017). MSC: 34A08 34B18 34B10 PDFBibTeX XMLCite \textit{K. Shah} and \textit{R. A. Khan}, Int. J. Appl. Comput. Math. 3, No. 3, 2369--2388 (2017; Zbl 1397.34026) Full Text: DOI
Al-Smadi, Mohammed; Freihat, Asad; Khalil, Hammad; Momani, Shaher; Ali Khan, Rahmat Numerical multistep approach for solving fractional partial differential equations. (English) Zbl 1404.65210 Int. J. Comput. Methods 14, No. 3, Article ID 1750029, 15 p. (2017). MSC: 65M99 35R11 PDFBibTeX XMLCite \textit{M. Al-Smadi} et al., Int. J. Comput. Methods 14, No. 3, Article ID 1750029, 15 p. (2017; Zbl 1404.65210) Full Text: DOI
Khalil, Hammad; Shah, Kamal; Khan, Rahmat Ali Approximate solution of boundary value problems using shifted Legendre polynomials. (English) Zbl 1390.42002 Appl. Comput. Math. 16, No. 3, 269-285 (2017). MSC: 42A10 42A15 PDFBibTeX XMLCite \textit{H. Khalil} et al., Appl. Comput. Math. 16, No. 3, 269--285 (2017; Zbl 1390.42002) Full Text: Link
Shah, Kamal; Khalil, Hammad; Khan, Rahmat Ali A generalized scheme based on shifted Jacobi polynomials for numerical simulation of coupled systems of multi-term fractional-order partial differential equations. (English) Zbl 1377.65111 LMS J. Comput. Math. 20, No. 1, 11-29 (2017). MSC: 65M06 35R11 26A33 65D30 65D25 PDFBibTeX XMLCite \textit{K. Shah} et al., LMS J. Comput. Math. 20, No. 1, 11--29 (2017; Zbl 1377.65111) Full Text: DOI
Iqbal, Muhammad; Li, Yongjin; Shah, Kamal; Khan, Rahmat Ali Application of topological degree method for solutions of coupled systems of multipoints boundary value problems of fractional order hybrid differential equations. (English) Zbl 1373.34010 Complexity 2017, Article ID 7676814, 9 p. (2017). MSC: 34A08 47H11 PDFBibTeX XMLCite \textit{M. Iqbal} et al., Complexity 2017, Article ID 7676814, 9 p. (2017; Zbl 1373.34010) Full Text: DOI
Ali, Nigar; Shah, Kamal; Baleanu, Dumitru; Arif, Muhammad; Khan, Rahmat Ali Study of a class of arbitrary order differential equations by a coincidence degree method. (English) Zbl 1372.34005 Bound. Value Probl. 2017, Paper No. 111, 14 p. (2017). MSC: 34A08 34B15 47N20 PDFBibTeX XMLCite \textit{N. Ali} et al., Bound. Value Probl. 2017, Paper No. 111, 14 p. (2017; Zbl 1372.34005) Full Text: DOI
Ali, Amjad; Samet, Bessem; Shah, Kamal; Khan, Rahmat Ali Existence and stability of solution to a toppled systems of differential equations of non-integer order. (English) Zbl 1361.34006 Bound. Value Probl. 2017, Paper No. 16, 13 p. (2017). MSC: 34A08 34B10 47N20 34B18 PDFBibTeX XMLCite \textit{A. Ali} et al., Bound. Value Probl. 2017, Paper No. 16, 13 p. (2017; Zbl 1361.34006) Full Text: DOI
Abuteen, Eman; Freihat, Asad; Al-Smadi, Mohammed; Khalil, Hammad; Khan, Rahmat Ali Approximate Series Solution of Nonlinear, Fractional Klein-Gordon Equations Using Fractional Reduced Differential Transform Method. arXiv:1704.06982 Preprint, arXiv:1704.06982 [math.NA] (2017). MSC: 35C10 35F55 26A33 BibTeX Cite \textit{E. Abuteen} et al., ``Approximate Series Solution of Nonlinear, Fractional Klein-Gordon Equations Using Fractional Reduced Differential Transform Method'', Preprint, arXiv:1704.06982 [math.NA] (2017) Full Text: DOI arXiv OA License
Freihat, Asad; Abu-Gdairi, Radwan; Khalil, Hammad; Abuteen, Eman; Al-Smadi, Mohammed; Khan, Rahmat Ali Fitted Reproducing Kernel Method for Solving a Class of Third-Order Periodic Boundary Value Problems. arXiv:1704.04837 Preprint, arXiv:1704.04837 [math.NA] (2017). MSC: 34K28 47B32 34B15 BibTeX Cite \textit{A. Freihat} et al., ``Fitted Reproducing Kernel Method for Solving a Class of Third-Order Periodic Boundary Value Problems'', Preprint, arXiv:1704.04837 [math.NA] (2017) Full Text: DOI arXiv OA License
Shah, K.; Khan, R. A. Iterative solutions to a coupled system of nonlinear fractional differential equation. (English) Zbl 1513.45025 J. Fract. Calc. Appl. 7, No. 2, 40-50 (2016). MSC: 45J05 26A33 45G15 PDFBibTeX XMLCite \textit{K. Shah} and \textit{R. A. Khan}, J. Fract. Calc. Appl. 7, No. 2, 40--50 (2016; Zbl 1513.45025) Full Text: Link
Khan, Hasib; Alipour, Mohsen; Jafari, Hossein; Khan, Rahmat Ali Approximate analytical solution of a coupled system of fractional partial differential equations by Bernstein polynomials. (English) Zbl 1420.35456 Int. J. Appl. Comput. Math. 2, No. 1, 85-96 (2016). MSC: 35R11 PDFBibTeX XMLCite \textit{H. Khan} et al., Int. J. Appl. Comput. Math. 2, No. 1, 85--96 (2016; Zbl 1420.35456) Full Text: DOI
Ali, Amjad; Shah, Kamal; Khan, Rahmat Ali Existence of positive solutions to a coupled system of nonlinear fractional order differential equations with \(m\)-point boundary conditions. (English) Zbl 1411.34009 Bull. Math. Anal. Appl. 8, No. 3, 1-11 (2016). MSC: 34A08 34B10 47N20 PDFBibTeX XMLCite \textit{A. Ali} et al., Bull. Math. Anal. Appl. 8, No. 3, 1--11 (2016; Zbl 1411.34009) Full Text: Link
Ali, Amjad; Shah, Kamal; Khan, Rahmat Ali Existence of positive solution to a class of boundary value problems of fractional differential equations. (English) Zbl 1424.34010 Comput. Methods Differ. Equ. 4, No. 1, 19-29 (2016). MSC: 34A08 26A33 34B18 PDFBibTeX XMLCite \textit{A. Ali} et al., Comput. Methods Differ. Equ. 4, No. 1, 19--29 (2016; Zbl 1424.34010) Full Text: Link
Khalil, Hammad; Khan, Rahmat Ali; Baleanu, Dumitru; Saker, Samir H. Approximate solution of linear and nonlinear fractional differential equations under \(m\)-point local and nonlocal boundary conditions. (English) Zbl 1419.34087 Adv. Difference Equ. 2016, Paper No. 177, 28 p. (2016). MSC: 34B10 34A08 PDFBibTeX XMLCite \textit{H. Khalil} et al., Adv. Difference Equ. 2016, Paper No. 177, 28 p. (2016; Zbl 1419.34087) Full Text: DOI
Khalil, Hammad; Al-Smadi, Mohammed; Moaddy, Khaled; Khan, Rahmat Ali; Hashim, Ishak Toward the approximate solution for fractional order nonlinear mixed derivative and nonlocal boundary value problems. (English) Zbl 1422.65296 Discrete Dyn. Nat. Soc. 2016, Article ID 5601821, 12 p. (2016). MSC: 65M99 34B10 34B15 26A33 PDFBibTeX XMLCite \textit{H. Khalil} et al., Discrete Dyn. Nat. Soc. 2016, Article ID 5601821, 12 p. (2016; Zbl 1422.65296) Full Text: DOI
Alipour, Mohsen; Khan, Rahmat Ali; Khan, Hasib; Karimi, Kobra Computational method based on Bernstein polynomials for solving a fractional optimal control problem. (English) Zbl 1357.49083 J. Math., Punjab Univ. 48, No. 1, 1-9 (2016). MSC: 49K15 34A08 34H05 65K10 PDFBibTeX XMLCite \textit{M. Alipour} et al., J. Math., Punjab Univ. 48, No. 1, 1--9 (2016; Zbl 1357.49083) Full Text: Link
Shah, Kamal; Khan, Rahmat Ali Existence and uniqueness results to a coupled system of fractional order boundary value problems by topological degree theory. (English) Zbl 06648989 Numer. Funct. Anal. Optim. 37, No. 7, 887-899 (2016). MSC: 47J05 92D25 34A08 34A34 34K15 PDFBibTeX XMLCite \textit{K. Shah} and \textit{R. A. Khan}, Numer. Funct. Anal. Optim. 37, No. 7, 887--899 (2016; Zbl 06648989) Full Text: DOI
Shah, Kamal; Ali, Amjad; Khan, Rahmat Ali Degree theory and existence of positive solutions to coupled systems of multi-point boundary value problems. (English) Zbl 1339.34013 Bound. Value Probl. 2016, Paper No. 43, 12 p. (2016). Reviewer: Syed Abbas (Mandi) MSC: 34A08 34B18 34B10 47N20 34C25 PDFBibTeX XMLCite \textit{K. Shah} et al., Bound. Value Probl. 2016, Paper No. 43, 12 p. (2016; Zbl 1339.34013) Full Text: DOI
Khalil, Hammad; Khan, R. A.; Smadi, M. Al.; Freihat, A. A generalized algorithm based on Legendre polynomials for numerical solutions of coupled system of fractional order differential equations. (English) Zbl 1488.65203 J. Fract. Calc. Appl. 6, No. 2, 123-143 (2015). MSC: 65L60 34A08 65T60 PDFBibTeX XMLCite \textit{H. Khalil} et al., J. Fract. Calc. Appl. 6, No. 2, 123--143 (2015; Zbl 1488.65203) Full Text: Link
Khan, Hasib; Khan, Rahmat Ali; Alipour, Mohsen On existence and uniqueness of solution for fractional boundary value problem. (English) Zbl 1488.34044 J. Fract. Calc. Appl. 6, No. 1, 51-61 (2015). MSC: 34A08 34B15 47N20 PDFBibTeX XMLCite \textit{H. Khan} et al., J. Fract. Calc. Appl. 6, No. 1, 51--61 (2015; Zbl 1488.34044) Full Text: Link
Shah, Kamal; Zeb, Salman; Khan, Rahmat Ali Existence and uniqueness of solutions for fractional order \(m\)-point boundary value problems. (English) Zbl 1415.34026 Fract. Differ. Calc. 5, No. 2, 171-181 (2015). MSC: 34A08 34A37 34B05 PDFBibTeX XMLCite \textit{K. Shah} et al., Fract. Differ. Calc. 5, No. 2, 171--181 (2015; Zbl 1415.34026) Full Text: DOI
Shah, Kamal; Khan, Rahmat Iterative scheme to a coupled system of highly nonlinear fractional order differential equations. (English) Zbl 1412.34041 Comput. Methods Differ. Equ. 3, No. 3, 163-176 (2015). MSC: 34A08 35R11 PDFBibTeX XMLCite \textit{K. Shah} and \textit{R. Khan}, Comput. Methods Differ. Equ. 3, No. 3, 163--176 (2015; Zbl 1412.34041) Full Text: Link
Khalil, Hammad; Khan, Rahmat; Rashidi, Mohammad Mehdi Brenstien polynomials and its application to fractional differential equation. (English) Zbl 1412.65250 Comput. Methods Differ. Equ. 3, No. 1, 14-35 (2015). MSC: 65T99 35C11 PDFBibTeX XMLCite \textit{H. Khalil} et al., Comput. Methods Differ. Equ. 3, No. 1, 14--35 (2015; Zbl 1412.65250) Full Text: Link
Baleanu, Dumitru; Khan, Hasib; Jafari, Hossein; Khan, Rahmat Ali; Alipour, Mohsen On existence results for solutions of a coupled system of hybrid boundary value problems with hybrid conditions. (English) Zbl 1422.34021 Adv. Difference Equ. 2015, Paper No. 318, 14 p. (2015). MSC: 34A08 47N20 47H10 34B15 34B10 PDFBibTeX XMLCite \textit{D. Baleanu} et al., Adv. Difference Equ. 2015, Paper No. 318, 14 p. (2015; Zbl 1422.34021) Full Text: DOI
Baleanu, Dumitru; Agarwal, Ravi P.; Khan, Hasib; Khan, Rahmat Ali; Jafari, Hossein On the existence of solution for fractional differential equations of order \(3<\delta_{1}\leq 4\). (English) Zbl 1422.34020 Adv. Difference Equ. 2015, Paper No. 362, 9 p. (2015). MSC: 34A08 34B10 47N20 34K10 34A60 PDFBibTeX XMLCite \textit{D. Baleanu} et al., Adv. Difference Equ. 2015, Paper No. 362, 9 p. (2015; Zbl 1422.34020) Full Text: DOI
Khalil, Hammad; Khan, Rahmat Ali; Shah, Kamal Corrigendum to “Investigation of positive solution to a coupled system of impulsive boundary value problems for nonlinear fractional order differential equations”. (English) Zbl 1353.34027 Chaos Solitons Fractals 78, 329-330 (2015). MSC: 34B18 34K45 34K37 34B37 PDFBibTeX XMLCite \textit{H. Khalil} et al., Chaos Solitons Fractals 78, 329--330 (2015; Zbl 1353.34027) Full Text: DOI
Shah, Kamal; Khalil, Hammad; Khan, Rahmat Ali Investigation of positive solution to a coupled system of impulsive boundary value problems for nonlinear fractional order differential equations. (English) Zbl 1353.34028 Chaos Solitons Fractals 77, 240-246 (2015); corrigendum ibid 78, 329-330 (2015). MSC: 34B18 34K45 34K37 34B37 PDFBibTeX XMLCite \textit{K. Shah} et al., Chaos Solitons Fractals 77, 240--246 (2015; Zbl 1353.34028) Full Text: DOI
Khalil, H.; Khan, Rahmat Ali Numerical scheme for solution of coupled system of initial value fractional order Fredholm integro differential equations with smooth solutions. (English) Zbl 1355.65178 J. Math. Ext. 9, No. 2, 39-58 (2015). MSC: 65R20 45F05 45J05 26A33 PDFBibTeX XMLCite \textit{H. Khalil} and \textit{R. A. Khan}, J. Math. Ext. 9, No. 2, 39--58 (2015; Zbl 1355.65178) Full Text: Link
Baleanu, Dumitru; Khan, Hasib; Jafari, Hossien; Khan, Rahmat Ali On the exact solution of wave equations on Cantor sets. (English) Zbl 1338.35459 Entropy 17, No. 9, 6229-6237 (2015). MSC: 35R11 PDFBibTeX XMLCite \textit{D. Baleanu} et al., Entropy 17, No. 9, 6229--6237 (2015; Zbl 1338.35459) Full Text: DOI
Jafari, Hossein; Baleanu, Dumitru; Khan, Hasib; Khan, Rahmat Ali; Khan, Aziz Existence criterion for the solutions of fractional order \(p\)-Laplacian boundary value problems. (English) Zbl 1381.34016 Bound. Value Probl. 2015, Paper No. 164, 10 p. (2015). MSC: 34A08 34B15 PDFBibTeX XMLCite \textit{H. Jafari} et al., Bound. Value Probl. 2015, Paper No. 164, 10 p. (2015; Zbl 1381.34016) Full Text: DOI
Khalil, Hammad; Khan, Rahmat Ali; Al-Smadi, Mohammed H.; Freihat, Asad A.; Shawagfeh, Nabil New operational matrix for shifted Legendre polynomials and fractional differential equations with variable coefficients. (English) Zbl 1337.65167 J. Math., Punjab Univ. 47, No. 1, 81-103 (2015). MSC: 65N35 65M70 35C11 PDFBibTeX XMLCite \textit{H. Khalil} et al., J. Math., Punjab Univ. 47, No. 1, 81--103 (2015; Zbl 1337.65167) Full Text: Link
Khalil, Hammad; Khan, Rahmat Ali; Al-Smadi, Mohammed H.; Freihat, Asad A. Approximation of solution of time fractional order three-dimensional heat conduction problems with Jacobi polynomials. (English) Zbl 1337.65166 J. Math., Punjab Univ. 47, No. 1, 35-56 (2015). MSC: 65N35 65M70 35C11 PDFBibTeX XMLCite \textit{H. Khalil} et al., J. Math., Punjab Univ. 47, No. 1, 35--56 (2015; Zbl 1337.65166) Full Text: Link
Shah, Kamal; Khan, Rahmat Ali Existence and uniqueness of positive solutions to a coupled system of nonlinear fractional order differential equations with anti periodic boundary conditions. (English) Zbl 1336.47071 Differ. Equ. Appl. 7, No. 2, 245-262 (2015). Reviewer: E. Ahmed (Mansoura) MSC: 47N20 92D25 34A08 34A34 PDFBibTeX XMLCite \textit{K. Shah} and \textit{R. A. Khan}, Differ. Equ. Appl. 7, No. 2, 245--262 (2015; Zbl 1336.47071) Full Text: DOI Link
Khalil, Hammad; Khan, Rahmat Ali The use of Jacobi polynomials in the numerical solution of coupled system of fractional differential equations. (English) Zbl 1321.65112 Int. J. Comput. Math. 92, No. 7, 1452-1472 (2015). MSC: 65L05 34A08 34A34 PDFBibTeX XMLCite \textit{H. Khalil} and \textit{R. A. Khan}, Int. J. Comput. Math. 92, No. 7, 1452--1472 (2015; Zbl 1321.65112) Full Text: DOI
Khan, Rahmat Ali; Khan, Hasib On existence of solution for multi-points boundary value problem. (English) Zbl 1488.34045 J. Fract. Calc. Appl. 5, No. 2, 121-132 (2014). MSC: 34A08 34B10 PDFBibTeX XMLCite \textit{R. A. Khan} and \textit{H. Khan}, J. Fract. Calc. Appl. 5, No. 2, 121--132 (2014; Zbl 1488.34045) Full Text: Link
Khan, Rahmat Ali; Khan, Aziz; Samad, Abdul; Khan, Hasib On existence of solutions for fractional differential equation with \(p\)-Laplacian operator. (English) Zbl 1499.34060 J. Fract. Calc. Appl. 5, No. 2, 28-37 (2014). MSC: 34A08 26A33 34B15 34B27 47N20 PDFBibTeX XMLCite \textit{R. A. Khan} et al., J. Fract. Calc. Appl. 5, No. 2, 28--37 (2014; Zbl 1499.34060) Full Text: Link
Khan, R. A.; Khan, H. Existence of solution for a three point boundary value problem of fractional differential equation. (English) Zbl 1499.34061 J. Fract. Calc. Appl. 5, No. 1, 156-164 (2014). MSC: 34A08 34B10 47N20 PDFBibTeX XMLCite \textit{R. A. Khan} and \textit{H. Khan}, J. Fract. Calc. Appl. 5, No. 1, 156--164 (2014; Zbl 1499.34061) Full Text: Link
Khan, Rahmat Ali; Khan, Aziz Existence and uniqueness of solutions for \(p\)-Laplacian fractional order boundary value problems. (English) Zbl 1415.34017 Comput. Methods Differ. Equ. 2, No. 4, 205-215 (2014). MSC: 34A08 34B15 PDFBibTeX XMLCite \textit{R. A. Khan} and \textit{A. Khan}, Comput. Methods Differ. Equ. 2, No. 4, 205--215 (2014; Zbl 1415.34017) Full Text: Link
Khalil, Hammad; Khan, Rahmat Ali A new method based on Legendre polynomials for solutions of the fractional two-dimensional heat conduction equation. (English) Zbl 1366.74084 Comput. Math. Appl. 67, No. 10, 1938-1953 (2014). MSC: 74S30 35R11 74K20 74F05 65M15 PDFBibTeX XMLCite \textit{H. Khalil} and \textit{R. A. Khan}, Comput. Math. Appl. 67, No. 10, 1938--1953 (2014; Zbl 1366.74084) Full Text: DOI
Khan, Rahmat Ali; Khalil, Hammad A new method based on Legendre polynomials for solution of system of fractional order partial differential equations. (English) Zbl 1328.65253 Int. J. Comput. Math. 91, No. 12, 2554-2567 (2014). MSC: 65N35 35R11 35C11 35F40 65N15 PDFBibTeX XMLCite \textit{R. A. Khan} and \textit{H. Khalil}, Int. J. Comput. Math. 91, No. 12, 2554--2567 (2014; Zbl 1328.65253) Full Text: DOI
Khalil, Hammad; Khan, Rahmat Ali New operational matrix of integrations and coupled system of Fredholm integral equations. (English) Zbl 1301.65131 Chin. J. Math. (New York) 2014, Article ID 146013, 6 p. (2014). MSC: 65R20 45B05 45F05 PDFBibTeX XMLCite \textit{H. Khalil} and \textit{R. A. Khan}, Chin. J. Math. (New York) 2014, Article ID 146013, 6 p. (2014; Zbl 1301.65131) Full Text: DOI
Khan, Rahmat Ali Higher order nonlocal nonlinear boundary value problems for fractional differential equations. (English) Zbl 1319.34011 Bull. Korean Math. Soc. 51, No. 2, 329-338 (2014). Reviewer: Chuanzhi Bai (Huaian) MSC: 34A08 34B10 34A45 PDFBibTeX XMLCite \textit{R. A. Khan}, Bull. Korean Math. Soc. 51, No. 2, 329--338 (2014; Zbl 1319.34011) Full Text: DOI Link
Rehman, Mujeeb Ur; Khan, Rahmat Ali Numerical solutions to initial and boundary value problems for linear fractional partial differential equations. (English) Zbl 1427.65299 Appl. Math. Modelling 37, No. 7, 5233-5244 (2013). MSC: 65M70 35R11 65T60 PDFBibTeX XMLCite \textit{M. U. Rehman} and \textit{R. A. Khan}, Appl. Math. Modelling 37, No. 7, 5233--5244 (2013; Zbl 1427.65299) Full Text: DOI
Khan, Rahmat Ali Three-point boundary value problems for higher order nonlinear fractional differential equations. (English) Zbl 1261.34006 J. Appl. Math. Inform. 31, No. 1-2, 221-228 (2013). MSC: 34A08 34A45 34B10 PDFBibTeX XMLCite \textit{R. A. Khan}, J. Appl. Math. Inform. 31, No. 1--2, 221--228 (2013; Zbl 1261.34006) Full Text: DOI Link
Khan, R. A.; Ahmad, F. Extrema of Young’s modulus in hexagonal materials. (English) Zbl 1291.74025 Appl. Math. Comput. 219, No. 4, 2260-2266 (2012). MSC: 74B05 74P05 15A18 PDFBibTeX XMLCite \textit{R. A. Khan} and \textit{F. Ahmad}, Appl. Math. Comput. 219, No. 4, 2260--2266 (2012; Zbl 1291.74025) Full Text: DOI
Eloe, P.; Henderson, J.; Khan, R. A. Existence and uniqueness conditions for a class of \((k + 4j)\)-point \(n\)-th order boundary value problems. (English) Zbl 1312.34049 Nonlinear Dyn. Syst. Theory 12, No. 1, 49-62 (2012). Reviewer: Minghe Pei (Jilin) MSC: 34B10 34B15 65D05 PDFBibTeX XMLCite \textit{P. Eloe} et al., Nonlinear Dyn. Syst. Theory 12, No. 1, 49--62 (2012; Zbl 1312.34049)
Khan, Rahmat Ali; Usman, Muhammad A study of the GAM approach to solve laminar boundary layer equations in the presence of a wedge. (English) Zbl 1262.76028 Appl. Math. Sci., Ruse 6, No. 117-120, 5947-5958 (2012). MSC: 76D10 80A20 76M25 PDFBibTeX XMLCite \textit{R. A. Khan} and \textit{M. Usman}, Appl. Math. Sci., Ruse 6, No. 117--120, 5947--5958 (2012; Zbl 1262.76028) Full Text: Link
Khan, Rahmat Ali Existence and approximation of solutions to nonlinear four-point boundary value problems for fractional differential equations. (English) Zbl 1273.26011 Math. Sci. Res. J. 16, No. 5, 128-135 (2012). MSC: 26A33 33C45 PDFBibTeX XMLCite \textit{R. A. Khan}, Math. Sci. Res. J. 16, No. 5, 128--135 (2012; Zbl 1273.26011)
ur Rehman, Mujeeb; Khan, Rahmat Ali A numerical method for solving boundary value problems for fractional differential equations. (English) Zbl 1243.65095 Appl. Math. Modelling 36, No. 3, 894-907 (2012). MSC: 65L10 34A08 45J05 PDFBibTeX XMLCite \textit{M. ur Rehman} and \textit{R. A. Khan}, Appl. Math. Modelling 36, No. 3, 894--907 (2012; Zbl 1243.65095) Full Text: DOI
Eloe, Paul W.; Henderson, Johnny; Khan, Rahmat Ali Uniqueness implies existence and uniqueness conditions for a class of \((k+j)\)-point boundary value problems for \(n\)-th order differential equations. (English) Zbl 1254.34029 Can. Math. Bull. 55, No. 2, 285-296 (2012). Reviewer: Radu Precup (Cluj-Napoca) MSC: 34B10 34B15 PDFBibTeX XMLCite \textit{P. W. Eloe} et al., Can. Math. Bull. 55, No. 2, 285--296 (2012; Zbl 1254.34029) Full Text: DOI Link
Khan, Rahmat Ali; Usman, Muhammad Eventual periodicity of forced oscillations of the Korteweg-de Vries type equation. (English) Zbl 1236.65153 Appl. Math. Modelling 36, No. 2, 736-742 (2012). MSC: 65N99 35Q53 PDFBibTeX XMLCite \textit{R. A. Khan} and \textit{M. Usman}, Appl. Math. Modelling 36, No. 2, 736--742 (2012; Zbl 1236.65153) Full Text: DOI
Asif, Naseer Ahmad; Khan, Rahmat Ali Positive solutions to singular system with four-point coupled boundary conditions. (English) Zbl 1232.34034 J. Math. Anal. Appl. 386, No. 2, 848-861 (2012). Reviewer: Petio S. Kelevedjiev (Sliven) MSC: 34B16 34B18 34B10 PDFBibTeX XMLCite \textit{N. A. Asif} and \textit{R. A. Khan}, J. Math. Anal. Appl. 386, No. 2, 848--861 (2012; Zbl 1232.34034) Full Text: DOI
Khan, Rahmat Ali; Ur Rehman, Mujeeb; Henderson, Johnny Existence and uniqueness of solutions for nonlinear fractional differential equations with integral boundary conditions. (English) Zbl 1412.34034 Fract. Differ. Calc. 1, No. 1, 29-43 (2011). MSC: 34A08 34B10 PDFBibTeX XMLCite \textit{R. A. Khan} et al., Fract. Differ. Calc. 1, No. 1, 29--43 (2011; Zbl 1412.34034) Full Text: DOI
Khan, Rahmat Existence and approximation of solutions to three-point boundary value problems for fractional differential equations. (English) Zbl 1340.35371 Electron. J. Qual. Theory Differ. Equ. 2011, Paper No. 58, 8 p. (2011). MSC: 35R11 35A01 35A35 PDFBibTeX XMLCite \textit{R. Khan}, Electron. J. Qual. Theory Differ. Equ. 2011, Paper No. 58, 8 p. (2011; Zbl 1340.35371) Full Text: DOI
Rehman, Mujeeb ur; Khan, Rahmat Ali; Asif, Naseer Ahmad Three point boundary value problems for nonlinear fractional differential equations. (English) Zbl 1249.34012 Acta Math. Sci., Ser. B, Engl. Ed. 31, No. 4, 1337-1346 (2011). MSC: 34A08 34B10 47N20 PDFBibTeX XMLCite \textit{M. u. Rehman} et al., Acta Math. Sci., Ser. B, Engl. Ed. 31, No. 4, 1337--1346 (2011; Zbl 1249.34012) Full Text: DOI
Rehman, Mujeeb Ur; Khan, Rahmat Ali; Eloe, Paul W. Positive solutions of nonlocal boundary value problem for higher order fractional differential system. (English) Zbl 1253.34017 Dyn. Syst. Appl. 20, No. 2-3, 169-182 (2011). Reviewer: K. Rajendra Prasad (Visakhapatnam) MSC: 34A08 34B10 34B18 47N20 34B09 PDFBibTeX XMLCite \textit{M. U. Rehman} et al., Dyn. Syst. Appl. 20, No. 2--3, 169--182 (2011; Zbl 1253.34017)
Khan, Rahmat Ali Multi-point boundary value problems for fractional differential equations. (English) Zbl 1235.34020 Commun. Appl. Nonlinear Anal. 18, No. 3, 31-40 (2011). MSC: 34A08 34B10 34A45 34B15 PDFBibTeX XMLCite \textit{R. A. Khan}, Commun. Appl. Nonlinear Anal. 18, No. 3, 31--40 (2011; Zbl 1235.34020)
Asif, Naseer Ahmad; Khan, Rahmat Ali; Eloe, Paul Existence of positive solutions to a singular system of boundary value problems. (English) Zbl 1229.34035 Dyn. Contin. Discrete Impuls. Syst., Ser. A, Math. Anal. 18, No. 3, 353-361 (2011). MSC: 34B18 34B16 PDFBibTeX XMLCite \textit{N. A. Asif} et al., Dyn. Contin. Discrete Impuls. Syst., Ser. A, Math. Anal. 18, No. 3, 353--361 (2011; Zbl 1229.34035) Full Text: Link
Khan, Rahmat Ali; Rehman, Mujeeb ur Existence of multiple positive solutions for a general system of fractional differential equations. (English) Zbl 1235.34021 Commun. Appl. Nonlinear Anal. 18, No. 1, 25-35 (2011). MSC: 34A08 34B18 47N20 PDFBibTeX XMLCite \textit{R. A. Khan} and \textit{M. u. Rehman}, Commun. Appl. Nonlinear Anal. 18, No. 1, 25--35 (2011; Zbl 1235.34021)
Rehman, Mujeeb Ur; Khan, Rahmat Ali A note on boundary value problems for a coupled system of fractional differential equations. (English) Zbl 1221.34018 Comput. Math. Appl. 61, No. 9, 2630-2637 (2011). MSC: 34A08 26A33 34B10 45J05 PDFBibTeX XMLCite \textit{M. U. Rehman} and \textit{R. A. Khan}, Comput. Math. Appl. 61, No. 9, 2630--2637 (2011; Zbl 1221.34018) Full Text: DOI
Ur Rehman, Mujeeb; Ali Khan, Rahmat The Legendre wavelet method for solving fractional differential equations. (English) Zbl 1222.65063 Commun. Nonlinear Sci. Numer. Simul. 16, No. 11, 4163-4173 (2011). MSC: 65L05 65L10 34A34 34B15 34A08 PDFBibTeX XMLCite \textit{M. Ur Rehman} and \textit{R. Ali Khan}, Commun. Nonlinear Sci. Numer. Simul. 16, No. 11, 4163--4173 (2011; Zbl 1222.65063) Full Text: DOI
Khan, Rahmat Ali Iterative scheme for solution to the Falkner-Skan boundary layer wedge flow problem. (English) Zbl 1419.76503 Gen. Math. Notes 1, No. 2, 1-10 (2010). MSC: 76M25 76D10 76M55 PDFBibTeX XMLCite \textit{R. A. Khan}, Gen. Math. Notes 1, No. 2, 1--10 (2010; Zbl 1419.76503)
Rehman, Mujeeb ur; Khan, Rahmat Ali Positive solutions to coupled system of fractional differential equations. (English) Zbl 1230.34008 Int. J. Nonlinear Sci. 10, No. 1, 96-104 (2010). Reviewer: K. Rajendra Prasad (Visakhapatnam) MSC: 34A08 34B18 47N20 PDFBibTeX XMLCite \textit{M. u. Rehman} and \textit{R. A. Khan}, Int. J. Nonlinear Sci. 10, No. 1, 96--104 (2010; Zbl 1230.34008)
Asif, Naseer Ahmad; Khan, Rahmat Ali; Henderson, Johnny Existence of positive solutions to a system of singular boundary value problems. (English) Zbl 1215.34029 Dyn. Syst. Appl. 19, No. 2, 395-404 (2010). MSC: 34B18 34B15 34B16 PDFBibTeX XMLCite \textit{N. A. Asif} et al., Dyn. Syst. Appl. 19, No. 2, 395--404 (2010; Zbl 1215.34029)