Abdellaoui, Mohamed Amin; Dahmani, Zoubir; Bedjaoui, Nabil Applications of fixed point theorems for coupled systems of fractional integro-differential equations involving convergent series. (English) Zbl 1512.34146 IAENG, Int. J. Appl. Math. 45, No. 4, 273-278 (2015). MSC: 34K37 PDFBibTeX XMLCite \textit{M. A. Abdellaoui} et al., IAENG, Int. J. Appl. Math. 45, No. 4, 273--278 (2015; Zbl 1512.34146)
Feunou, Bruno; Tafolong, Ernest Fourier inversion formulas for multiple-asset option pricing. (English) Zbl 1506.91164 Stud. Nonlinear Dyn. Econom. 19, No. 5, 531-559 (2015). MSC: 91G20 62P05 PDFBibTeX XMLCite \textit{B. Feunou} and \textit{E. Tafolong}, Stud. Nonlinear Dyn. Econom. 19, No. 5, 531--559 (2015; Zbl 1506.91164) Full Text: DOI
Omarova, Mehriban N. \((L_p, L_q)\) boundedness of the fractional maximal operator on the dual of Laguerre hypergroup. (English) Zbl 1513.42085 Trans. Natl. Acad. Sci. Azerb., Ser. Phys.-Tech. Math. Sci. 35, No. 1, Math. Mech., 66-75 (2015). MSC: 42B25 42B20 42B35 26A33 42A38 PDFBibTeX XMLCite \textit{M. N. Omarova}, Trans. Natl. Acad. Sci. Azerb., Ser. Phys.-Tech. Math. Sci. 35, No. 1, Math. Mech., 66--75 (2015; Zbl 1513.42085) Full Text: Link
Orujova, A. T. Interpolation theorems of the generalized Besov-Morrey type spaces with dominant mixed derivatives. (English) Zbl 1524.46042 Trans. Natl. Acad. Sci. Azerb., Ser. Phys.-Tech. Math. Sci. 35, No. 4, Math., 131-142 (2015). MSC: 46E30 26A33 46B70 35Q35 PDFBibTeX XMLCite \textit{A. T. Orujova}, Trans. Natl. Acad. Sci. Azerb., Ser. Phys.-Tech. Math. Sci. 35, No. 4, Math., 131--142 (2015; Zbl 1524.46042) Full Text: Link
Omarova, M. N.; Guliyev, E. V.; Azizov, J. V. \((L_p, L_q)\) boundedness of the fractional integral operator on the dual of Laguerre hypergroup. (English) Zbl 1513.42062 Trans. Natl. Acad. Sci. Azerb., Ser. Phys.-Tech. Math. Sci. 35, No. 4, Math., 120-130 (2015). MSC: 42B20 42B25 42B35 42A38 26A33 20N20 PDFBibTeX XMLCite \textit{M. N. Omarova} et al., Trans. Natl. Acad. Sci. Azerb., Ser. Phys.-Tech. Math. Sci. 35, No. 4, Math., 120--130 (2015; Zbl 1513.42062) Full Text: Link
Abbas, Saïd; Alaidarous, Eman; Albarakati, Wafaa; Benchohra, Mouffak Upper and lower solutions method for partial Hadamard fractional integral equations and inclusions. (English) Zbl 1524.45027 Discuss. Math., Differ. Incl. Control Optim. 35, No. 2, 105-122 (2015). MSC: 45K05 26A33 47N20 PDFBibTeX XMLCite \textit{S. Abbas} et al., Discuss. Math., Differ. Incl. Control Optim. 35, No. 2, 105--122 (2015; Zbl 1524.45027) Full Text: DOI
Dragomir, S. S. Inequalities of Hermite-Hadamard type. (English) Zbl 1492.26027 Moroccan J. Pure Appl. Anal. 1, No. 1, 1-21 (2015). MSC: 26D15 26D10 PDFBibTeX XMLCite \textit{S. S. Dragomir}, Moroccan J. Pure Appl. Anal. 1, No. 1, 1--21 (2015; Zbl 1492.26027) Full Text: DOI
Sun, Taixiang; Liu, Jing Lyapunov inequality for dynamic equation with order \(n +1\) on time scales. (English) Zbl 1499.34461 J. Dyn. Syst. Geom. Theor. 13, No. 1, 95-101 (2015). MSC: 34N05 34B15 26D10 PDFBibTeX XMLCite \textit{T. Sun} and \textit{J. Liu}, J. Dyn. Syst. Geom. Theor. 13, No. 1, 95--101 (2015; Zbl 1499.34461) Full Text: DOI
Hu, Yuxin; Li, Fang Impulsive problems for fractional differential equations with nonlocal delay. (English) Zbl 1499.34408 Int. J. Evol. Equ. 10, No. 3-4, 401-409 (2015). MSC: 34K37 34K45 47N20 34K30 47D06 47H10 PDFBibTeX XMLCite \textit{Y. Hu} and \textit{F. Li}, Int. J. Evol. Equ. 10, No. 3--4, 401--409 (2015; Zbl 1499.34408)
Benchohra, Mouffak; Lazreg, Jamal-Eddine; N’Guérékata, Gaston Nonlinear implicit Hadamard’s fractional differential equations on Banach space with retarded and advanced arguments. (English) Zbl 1499.34402 Int. J. Evol. Equ. 10, No. 3-4, 283-295 (2015). MSC: 34K37 34K30 34K32 47N20 PDFBibTeX XMLCite \textit{M. Benchohra} et al., Int. J. Evol. Equ. 10, No. 3--4, 283--295 (2015; Zbl 1499.34402)
Li, Limei; Zhang, Shuhua; Peng, Long Alternating direction implicit compact difference scheme for the two-dimensional fractional evolution equation. (Chinese. English summary) Zbl 1488.65257 Sci. Sin., Math. 45, No. 8, 1265-1280 (2015). MSC: 65M06 65N06 65M12 26A33 35R11 35R09 PDFBibTeX XMLCite \textit{L. Li} et al., Sci. Sin., Math. 45, No. 8, 1265--1280 (2015; Zbl 1488.65257) Full Text: DOI
Guo, Tiexin; Zhao, Shien; Zeng, Xiaolin Random convex analysis. II: Continuity and subdifferentiability theorems in \(L^0\)-pre-barreled random locally convex modules. (Chinese. English summary) Zbl 1488.46111 Sci. Sin., Math. 45, No. 5, 647-662 (2015). MSC: 46N10 46H25 46G05 46A99 52A41 46A08 PDFBibTeX XMLCite \textit{T. Guo} et al., Sci. Sin., Math. 45, No. 5, 647--662 (2015; Zbl 1488.46111) Full Text: DOI arXiv
Das, Sanjukta; Pandey, D. N.; Sukavanam, N. Approximation of solutions of a stochastic fractional differential equation with deviating argument. (English) Zbl 1488.34401 J. Fract. Calc. Appl. 6, No. 2, 160-170 (2015). MSC: 34K30 34K37 34K50 41A30 PDFBibTeX XMLCite \textit{S. Das} et al., J. Fract. Calc. Appl. 6, No. 2, 160--170 (2015; Zbl 1488.34401) Full Text: Link
El-Sayed, A. M. A.; Eladdad, E. E.; Madkour, H. F. A. On some equivalent problems of stochastic differential equations of fractional order. (English) Zbl 1488.34440 J. Fract. Calc. Appl. 6, No. 2, 115-122 (2015). MSC: 34K50 34K37 45R05 PDFBibTeX XMLCite \textit{A. M. A. El-Sayed} et al., J. Fract. Calc. Appl. 6, No. 2, 115--122 (2015; Zbl 1488.34440) Full Text: Link
Torres Ledesma, César E. Non-homogeneous fractional Schrödinger equation. (English) Zbl 1499.35688 J. Fract. Calc. Appl. 6, No. 2, 108-114 (2015). MSC: 35R11 26A33 PDFBibTeX XMLCite \textit{C. E. Torres Ledesma}, J. Fract. Calc. Appl. 6, No. 2, 108--114 (2015; Zbl 1499.35688) Full Text: arXiv Link
Irmak, H.; Frasin, B. A. An application of fractional calculus and its implications relating to certain analytic functions and complex equations. (English) Zbl 1499.30098 J. Fract. Calc. Appl. 6, No. 2, 84-100 (2015). MSC: 30C45 26A33 34A08 35G10 35F05 30A10 PDFBibTeX XMLCite \textit{H. Irmak} and \textit{B. A. Frasin}, J. Fract. Calc. Appl. 6, No. 2, 84--100 (2015; Zbl 1499.30098) Full Text: Link
Yang, Dandan Existence of solutions for fractional differential inclusions with integral boundary value conditions. (English) Zbl 1499.34128 J. Fract. Calc. Appl. 6, No. 2, 78-84 (2015). MSC: 34A60 34A08 34B15 47N20 34B10 26A33 PDFBibTeX XMLCite \textit{D. Yang}, J. Fract. Calc. Appl. 6, No. 2, 78--84 (2015; Zbl 1499.34128) Full Text: Link
Mathai, A. M. Fractional derivatives for Kober operators and stastistical densities in the real matrix-variate cases. (English) Zbl 1502.47059 J. Fract. Calc. Appl. 6, No. 2, 65-77 (2015). MSC: 47E05 26A33 60B20 62E15 33C60 40C05 PDFBibTeX XMLCite \textit{A. M. Mathai}, J. Fract. Calc. Appl. 6, No. 2, 65--77 (2015; Zbl 1502.47059) Full Text: Link
Khader, M. M.; Sweilam, N. H. Numerical and theoretical study for solving multi-term linear fractional differential equations using a collocation method bsed on the generalized Laguerre polynomials. (English) Zbl 1488.65689 J. Fract. Calc. Appl. 6, No. 2, 53-64 (2015). MSC: 65N35 34A30 26A33 34A08 65M12 PDFBibTeX XMLCite \textit{M. M. Khader} and \textit{N. H. Sweilam}, J. Fract. Calc. Appl. 6, No. 2, 53--64 (2015; Zbl 1488.65689) Full Text: Link
Damarla, S. K.; Kundu, M. Numerical solution of fractional order differential-algebraic equations using generalized triangular function operational matrices. (English) Zbl 1499.65361 J. Fract. Calc. Appl. 6, No. 2, 31-52 (2015). MSC: 65L80 26A33 42C05 74H15 35E15 PDFBibTeX XMLCite \textit{S. K. Damarla} and \textit{M. Kundu}, J. Fract. Calc. Appl. 6, No. 2, 31--52 (2015; Zbl 1499.65361) Full Text: Link
Neamaty, A.; Yadollahzadeh, M.; Darzi, R. Existence of solution for a nonlocal boundary value problem with fractional \(q\)-derivatives. (English) Zbl 1499.39063 J. Fract. Calc. Appl. 6, No. 2, 18-27 (2015). MSC: 39A27 39A13 26A33 PDFBibTeX XMLCite \textit{A. Neamaty} et al., J. Fract. Calc. Appl. 6, No. 2, 18--27 (2015; Zbl 1499.39063) Full Text: Link
Chouhan, Amit; Khan, Arif M. Unified integrals associated with \(H\)-functions and \(M\)-series. (English) Zbl 1488.33018 J. Fract. Calc. Appl. 6, No. 2, 11-17 (2015). MSC: 33C20 26A33 33C60 PDFBibTeX XMLCite \textit{A. Chouhan} and \textit{A. M. Khan}, J. Fract. Calc. Appl. 6, No. 2, 11--17 (2015; Zbl 1488.33018) Full Text: Link
Wan, Yuequan; Zhang, Haiyan; French, Mark Adjustable fractional order adaptive control on single-delay regenerative machining chatter. (English) Zbl 1499.93044 J. Fract. Calc. Appl. 6, No. 1, 185-207 (2015). MSC: 93C40 26A33 93C15 93B18 PDFBibTeX XMLCite \textit{Y. Wan} et al., J. Fract. Calc. Appl. 6, No. 1, 185--207 (2015; Zbl 1499.93044) Full Text: Link
Guswanto, Bambang Hendriya On the properties of solution operators of fractional evolution equations. (English) Zbl 1499.34321 J. Fract. Calc. Appl. 6, No. 1, 131-159 (2015). MSC: 34G10 26A33 34A08 34A12 PDFBibTeX XMLCite \textit{B. H. Guswanto}, J. Fract. Calc. Appl. 6, No. 1, 131--159 (2015; Zbl 1499.34321) Full Text: Link
Hashem, H. H. G. On the solution of a generalized fractional order integral equation and some applications. (English) Zbl 1499.45005 J. Fract. Calc. Appl. 6, No. 1, 120-130 (2015). MSC: 45D05 26A33 PDFBibTeX XMLCite \textit{H. H. G. Hashem}, J. Fract. Calc. Appl. 6, No. 1, 120--130 (2015; Zbl 1499.45005) Full Text: Link
Loka, M. Mat Some inequalities of Hadamard type for mappings whose second derivatives are \(h\)-convex via fractional integrals. (English) Zbl 1488.26118 J. Fract. Calc. Appl. 6, No. 1, 110-119 (2015). MSC: 26D15 26A33 26A51 PDFBibTeX XMLCite \textit{M. M. Loka}, J. Fract. Calc. Appl. 6, No. 1, 110--119 (2015; Zbl 1488.26118) Full Text: Link
El-Sayed, Ahmed M. A. On the stochastic fractional calculus operators. (English) Zbl 1499.60168 J. Fract. Calc. Appl. 6, No. 1, 101-109 (2015). MSC: 60H05 34A08 34F05 PDFBibTeX XMLCite \textit{A. M. A. El-Sayed}, J. Fract. Calc. Appl. 6, No. 1, 101--109 (2015; Zbl 1499.60168) Full Text: Link
Qayyum, A.; Faye, I.; Shoaib, M. On new generalized inequalities via Riemann-Liouville fractional integration. (English) Zbl 1488.26132 J. Fract. Calc. Appl. 6, No. 1, 91-100 (2015). MSC: 26D15 26A33 PDFBibTeX XMLCite \textit{A. Qayyum} et al., J. Fract. Calc. Appl. 6, No. 1, 91--100 (2015; Zbl 1488.26132) Full Text: Link
Sweilam, N. H.; Nagy, A. M.; Assiri, T. A.; Ali, N. Y. Numerical simulations for variable-order fractional nonlinear delay differential equations. (English) Zbl 1499.65263 J. Fract. Calc. Appl. 6, No. 1, 71-82 (2015). MSC: 65L03 34K37 PDFBibTeX XMLCite \textit{N. H. Sweilam} et al., J. Fract. Calc. Appl. 6, No. 1, 71--82 (2015; Zbl 1499.65263) Full Text: Link
Torres, C. Existence of solution for perturbed fractional Hamiltonian systems. (English) Zbl 1499.37108 J. Fract. Calc. Appl. 6, No. 1, 62-70 (2015). MSC: 37J99 34A08 26A33 PDFBibTeX XMLCite \textit{C. Torres}, J. Fract. Calc. Appl. 6, No. 1, 62--70 (2015; Zbl 1499.37108) Full Text: arXiv Link
Chadha, Alka; Pandey, Dwijendra N. Existence of a mild solution for an impulsive neutral fractional integro-differential equation with nonlocal conditions. (English) Zbl 1488.34400 J. Fract. Calc. Appl. 6, No. 1, 5-20 (2015). MSC: 34K30 34K37 47N20 34K45 PDFBibTeX XMLCite \textit{A. Chadha} and \textit{D. N. Pandey}, J. Fract. Calc. Appl. 6, No. 1, 5--20 (2015; Zbl 1488.34400) Full Text: Link
Fabricant, Alexander; Kutev, Nikolai; Rangelov, Tsviatko Hardy-type inequalities with weights. (English) Zbl 1488.26063 Serdica Math. J. 41, No. 4, 493-512 (2015). MSC: 26D10 PDFBibTeX XMLCite \textit{A. Fabricant} et al., Serdica Math. J. 41, No. 4, 493--512 (2015; Zbl 1488.26063) Full Text: Link
Ezzat, Magdy A.; Sabbah, A. S.; El-Bary, A. A.; Ezzat, S. M. Thermoelectric viscoelastic fluid with fractional integral and derivative heat transfer. (English) Zbl 1499.76012 Adv. Appl. Math. Mech. 7, No. 4, 528-548 (2015). MSC: 76A10 76W05 44A10 65R10 80A19 35K05 26A33 35R11 35Q35 PDFBibTeX XMLCite \textit{M. A. Ezzat} et al., Adv. Appl. Math. Mech. 7, No. 4, 528--548 (2015; Zbl 1499.76012) Full Text: DOI
Wei, Leilei; He, Yinnian; Zhang, Xindong Analysis of an implicit fully discrete local discontinuous Galerkin method for the time-fractional KdV equation. (English) Zbl 1488.65473 Adv. Appl. Math. Mech. 7, No. 4, 510-527 (2015). MSC: 65M60 65M06 65N30 35K55 65M12 65M15 26A33 35R11 35Q53 PDFBibTeX XMLCite \textit{L. Wei} et al., Adv. Appl. Math. Mech. 7, No. 4, 510--527 (2015; Zbl 1488.65473) Full Text: DOI
Bardaro, Carlo; Faina, Loris; Mantellini, Ilaria Quantitative approximation properties for iterates of moment operator. (English) Zbl 1488.41032 Math. Model. Anal. 20, No. 2, 261-272 (2015). MSC: 41A35 41A25 47G10 PDFBibTeX XMLCite \textit{C. Bardaro} et al., Math. Model. Anal. 20, No. 2, 261--272 (2015; Zbl 1488.41032) Full Text: DOI
Orlovsky, Dmitry G. Parameter determination in a differential equation of fractional order with Riemann-Liouville fractional derivative in a Hilbert space. (English) Zbl 1525.34028 J. Sib. Fed. Univ., Math. Phys. 8, No. 1, 55-63 (2015). MSC: 34A08 26A33 34A25 PDFBibTeX XMLCite \textit{D. G. Orlovsky}, J. Sib. Fed. Univ., Math. Phys. 8, No. 1, 55--63 (2015; Zbl 1525.34028) Full Text: MNR
Bhatter, Sanjay; Faisal, Sheikh Mohammed Fractional integral transformations of Mittag-Leffler type \(E\)-function. (English) Zbl 1474.33085 South East Asian J. Math. Math. Sci. 11, No. 1, 31-38 (2015). MSC: 33E12 26A33 PDFBibTeX XMLCite \textit{S. Bhatter} and \textit{S. M. Faisal}, South East Asian J. Math. Math. Sci. 11, No. 1, 31--38 (2015; Zbl 1474.33085) Full Text: Link
Yadav, Jayprakash; Pandey, N. N. On certain transformations of bivariate basic hypergeometric series using \(q\)-fractional operators. (English) Zbl 1474.33075 South East Asian J. Math. Math. Sci. 11, No. 1, 25-30 (2015). MSC: 33D15 PDFBibTeX XMLCite \textit{J. Yadav} and \textit{N. N. Pandey}, South East Asian J. Math. Math. Sci. 11, No. 1, 25--30 (2015; Zbl 1474.33075) Full Text: Link
West, B. J.; Turalska, M.; Grigolini, Paolo Fractional calculus ties the microscopic and macroscopic scales of complex network dynamics. (English) Zbl 1453.90041 New J. Phys. 17, No. 4, Article ID 045009, 13 p. (2015). MSC: 90B10 91B06 26A33 PDFBibTeX XMLCite \textit{B. J. West} et al., New J. Phys. 17, No. 4, Article ID 045009, 13 p. (2015; Zbl 1453.90041) Full Text: DOI arXiv
Busłowicz, Mikołaj; Ruszewski, Andrzej Robust stability of a class of uncertain fractional order linear systems with pure delay. (English) Zbl 1446.93033 Arch. Control Sci. 25, No. 2, 177-187 (2015). MSC: 93C15 26A33 93D09 93C41 93C55 93C05 PDFBibTeX XMLCite \textit{M. Busłowicz} and \textit{A. Ruszewski}, Arch. Control Sci. 25, No. 2, 177--187 (2015; Zbl 1446.93033) Full Text: DOI
Chadha, Alka; Pandey, D. N. Existence and approximation of solution to neutral fractional differential equation with nonlocal conditions. (English) Zbl 1443.34084 Comput. Math. Appl. 69, No. 9, 893-908 (2015). MSC: 34K37 34K07 65R20 PDFBibTeX XMLCite \textit{A. Chadha} and \textit{D. N. Pandey}, Comput. Math. Appl. 69, No. 9, 893--908 (2015; Zbl 1443.34084) Full Text: DOI
Gao, Wenwu; Wu, Zongmin Approximation orders and shape preserving properties of the multiquadric trigonometric B-spline quasi-interpolant. (English) Zbl 1443.41010 Comput. Math. Appl. 69, No. 7, 696-707 (2015). MSC: 41A25 41A15 41A30 65D07 PDFBibTeX XMLCite \textit{W. Gao} and \textit{Z. Wu}, Comput. Math. Appl. 69, No. 7, 696--707 (2015; Zbl 1443.41010) Full Text: DOI
Kukla, Stanisław; Siedlecka, Urszula Laplace transform solution of the problem of time-fractional heat conduction in a two-layered slab. (English) Zbl 07251920 J. Appl. Math. Comput. Mech. 14, No. 4, 105-113 (2015). MSC: 26A33 44A10 PDFBibTeX XMLCite \textit{S. Kukla} and \textit{U. Siedlecka}, J. Appl. Math. Comput. Mech. 14, No. 4, 105--113 (2015; Zbl 07251920) Full Text: DOI
Kukla, Stanisław A solution to the problem of time-fractional heat conduction in a multi-layer slab. (English) Zbl 1515.74019 J. Appl. Math. Comput. Mech. 14, No. 3, 95-102 (2015). MSC: 74F05 80A19 35Q79 26A33 PDFBibTeX XMLCite \textit{S. Kukla}, J. Appl. Math. Comput. Mech. 14, No. 3, 95--102 (2015; Zbl 1515.74019) Full Text: DOI
Povstenko, Yuriy; Klekot, Joanna The Dirichlet problem for the time-fractional advection-diffusion equation in a half-space. (English) Zbl 07251888 J. Appl. Math. Comput. Mech. 14, No. 2, 73-83 (2015). MSC: 26A33 35R11 PDFBibTeX XMLCite \textit{Y. Povstenko} and \textit{J. Klekot}, J. Appl. Math. Comput. Mech. 14, No. 2, 73--83 (2015; Zbl 07251888) Full Text: DOI
Alquran, Marwan Analytical solution of time-fractional two-component evolutionary system of order 2 by residual power series method. (English) Zbl 1447.35111 J. Appl. Anal. Comput. 5, No. 4, 589-599 (2015). MSC: 35C10 35R11 26A33 35F25 PDFBibTeX XMLCite \textit{M. Alquran}, J. Appl. Anal. Comput. 5, No. 4, 589--599 (2015; Zbl 1447.35111) Full Text: DOI
Yan, Zuomao; Lu, Fangxia Existence results for a new class of fractional impulsive partial neutral stochastic integro-differential equations with infinite delay. (English) Zbl 1451.34100 J. Appl. Anal. Comput. 5, No. 3, 329-346 (2015). MSC: 34K30 34K37 34K40 34K45 34K50 47N20 PDFBibTeX XMLCite \textit{Z. Yan} and \textit{F. Lu}, J. Appl. Anal. Comput. 5, No. 3, 329--346 (2015; Zbl 1451.34100) Full Text: DOI
Tang, Xiaojun; Xu, Heyong Fractional pseudospectral integration matrices for solving fractional differential, integral, and integro-differential equations. (English) Zbl 1489.65116 Commun. Nonlinear Sci. Numer. Simul. 30, No. 1-3, 248-267 (2015). MSC: 65L60 34A08 34K37 PDFBibTeX XMLCite \textit{X. Tang} and \textit{H. Xu}, Commun. Nonlinear Sci. Numer. Simul. 30, No. 1--3, 248--267 (2015; Zbl 1489.65116) Full Text: DOI
Tarasov, Vasily E. On chain rule for fractional derivatives. (English) Zbl 1489.26011 Commun. Nonlinear Sci. Numer. Simul. 30, No. 1-3, 1-4 (2015). MSC: 26A33 PDFBibTeX XMLCite \textit{V. E. Tarasov}, Commun. Nonlinear Sci. Numer. Simul. 30, No. 1--3, 1--4 (2015; Zbl 1489.26011) Full Text: DOI
Alotta, Gioacchino; Di Paola, Mario; Failla, Giuseppe A Mellin transform approach to wavelet analysis. (English) Zbl 1510.44005 Commun. Nonlinear Sci. Numer. Simul. 28, No. 1-3, 175-193 (2015). MSC: 44A15 26A33 42C40 PDFBibTeX XMLCite \textit{G. Alotta} et al., Commun. Nonlinear Sci. Numer. Simul. 28, No. 1--3, 175--193 (2015; Zbl 1510.44005) Full Text: DOI
Stonyakin, Fedor S. Applications of anticompact sets to analogs of Denjoy-Young-Saks and Lebesgue theorems. (English) Zbl 1463.46068 Eurasian Math. J. 6, No. 1, 115-122 (2015). MSC: 46G05 46G10 46T20 PDFBibTeX XMLCite \textit{F. S. Stonyakin}, Eurasian Math. J. 6, No. 1, 115--122 (2015; Zbl 1463.46068) Full Text: DOI MNR
Oinarov, Ryskul; Ramazanova, Khanym; Tiryaki, Aydin Sturm comparison theorems for half-linear equations with a damping term. (English) Zbl 1463.34148 Eurasian Math. J. 6, No. 1, 85-95 (2015). MSC: 34C10 26D10 PDFBibTeX XMLCite \textit{R. Oinarov} et al., Eurasian Math. J. 6, No. 1, 85--95 (2015; Zbl 1463.34148) Full Text: DOI MNR
Gaitán, Alejandra; Sáenz, Ricardo A. Takagi’s function. (Spanish) Zbl 1439.26027 Misc. Mat. 61, 43-55 (2015). MSC: 26A27 28A80 PDFBibTeX XMLCite \textit{A. Gaitán} and \textit{R. A. Sáenz}, Misc. Mat. 61, 43--55 (2015; Zbl 1439.26027) Full Text: Link
Kim, Kyung Eung Value function and optimality conditions. (English) Zbl 1433.49006 Korean J. Math. 23, No. 2, 283-291 (2015). MSC: 49J21 49K21 PDFBibTeX XMLCite \textit{K. E. Kim}, Korean J. Math. 23, No. 2, 283--291 (2015; Zbl 1433.49006) Full Text: DOI
Liu, Yuji Existence of solutions of a class of impulsive periodic type BVPs for singular fractional differential systems. (English) Zbl 1433.34104 Korean J. Math. 23, No. 1, 205-230 (2015). MSC: 34K37 92D25 34A37 34B15 PDFBibTeX XMLCite \textit{Y. Liu}, Korean J. Math. 23, No. 1, 205--230 (2015; Zbl 1433.34104) Full Text: DOI
Wang, Yizhuo; Han, Zhenlai; Sun, Shurong Comment on “On the oscillation of fractional-order delay differential equations with constant coefficients”. (English) Zbl 1440.34069 Commun. Nonlinear Sci. Numer. Simul. 26, No. 1-3, 195-200 (2015). MSC: 34K11 34K37 34K40 PDFBibTeX XMLCite \textit{Y. Wang} et al., Commun. Nonlinear Sci. Numer. Simul. 26, No. 1--3, 195--200 (2015; Zbl 1440.34069) Full Text: DOI
Baleanu, Dumitru; Magin, Richard L.; Bhalekar, Sachin; Daftardar-Gejji, Varsha Chaos in the fractional order nonlinear Bloch equation with delay. (English) Zbl 1440.78002 Commun. Nonlinear Sci. Numer. Simul. 25, No. 1-3, 41-49 (2015). MSC: 78A25 34K37 PDFBibTeX XMLCite \textit{D. Baleanu} et al., Commun. Nonlinear Sci. Numer. Simul. 25, No. 1--3, 41--49 (2015; Zbl 1440.78002) Full Text: DOI
Machado, J. A. Tenreiro Matrix fractional systems. (English) Zbl 1463.37017 Commun. Nonlinear Sci. Numer. Simul. 25, No. 1-3, 10-18 (2015). MSC: 37C99 26A33 34A08 35R11 PDFBibTeX XMLCite \textit{J. A. T. Machado}, Commun. Nonlinear Sci. Numer. Simul. 25, No. 1--3, 10--18 (2015; Zbl 1463.37017) Full Text: DOI
Naranjani, Yousef; Sardahi, Yousef; Chen, YangQuan; Sun, Jian-Qiao Multi-objective optimization of distributed-order fractional damping. (English) Zbl 1440.90066 Commun. Nonlinear Sci. Numer. Simul. 24, No. 1-3, 159-168 (2015). MSC: 90C29 26A33 90C59 93B51 PDFBibTeX XMLCite \textit{Y. Naranjani} et al., Commun. Nonlinear Sci. Numer. Simul. 24, No. 1--3, 159--168 (2015; Zbl 1440.90066) Full Text: DOI
Stanislavsky, Aleksander; Weron, Karina; Weron, Aleksander Anomalous diffusion approach to non-exponential relaxation in complex physical systems. (English) Zbl 1463.82002 Commun. Nonlinear Sci. Numer. Simul. 24, No. 1-3, 117-126 (2015). MSC: 82C31 33E12 60E07 82C70 26A33 82C41 PDFBibTeX XMLCite \textit{A. Stanislavsky} et al., Commun. Nonlinear Sci. Numer. Simul. 24, No. 1--3, 117--126 (2015; Zbl 1463.82002) Full Text: DOI
Li, Fengying; Wu, Ranchao; Liang, Song Observer-based state estimation for non-linear fractional systems. (English) Zbl 1442.34123 Int. J. Dyn. Syst. Differ. Equ. 5, No. 4, 322-335 (2015). MSC: 34K35 34A08 26A33 PDFBibTeX XMLCite \textit{F. Li} et al., Int. J. Dyn. Syst. Differ. Equ. 5, No. 4, 322--335 (2015; Zbl 1442.34123) Full Text: DOI
Sharma, Madhukant; Dubey, Shruti Controllability of nonlocal fractional functional differential equations of neutral type in a Banach space. (English) Zbl 1442.34124 Int. J. Dyn. Syst. Differ. Equ. 5, No. 4, 302-321 (2015). MSC: 34K35 34H05 34K40 34A08 26A33 PDFBibTeX XMLCite \textit{M. Sharma} and \textit{S. Dubey}, Int. J. Dyn. Syst. Differ. Equ. 5, No. 4, 302--321 (2015; Zbl 1442.34124) Full Text: DOI
Li, Xinhui; Han, Zhenlai; Zhao, Yan Existence and multiplicity of positive solutions for fractional \(q\)-difference equations with parameter. (English) Zbl 1442.34022 Int. J. Dyn. Syst. Differ. Equ. 5, No. 4, 267-287 (2015). MSC: 34A08 34B10 26A33 PDFBibTeX XMLCite \textit{X. Li} et al., Int. J. Dyn. Syst. Differ. Equ. 5, No. 4, 267--287 (2015; Zbl 1442.34022) Full Text: DOI
Khosravian-Arab, Hassan; Almeida, Ricardo Numerical solution for fractional variational problems using the Jacobi polynomials. (English) Zbl 1443.49039 Appl. Math. Modelling 39, No. 21, 6461-6470 (2015). MSC: 49M99 26A33 49K21 PDFBibTeX XMLCite \textit{H. Khosravian-Arab} and \textit{R. Almeida}, Appl. Math. Modelling 39, No. 21, 6461--6470 (2015; Zbl 1443.49039) Full Text: DOI arXiv
Xu, Ying-Tao; Zhang, Ying; Wang, Sheng-Gang A modified tunneling function method for non-smooth global optimization and its application in artificial neural network. (English) Zbl 1443.90332 Appl. Math. Modelling 39, No. 21, 6438-6450 (2015). MSC: 90C56 90C26 86-10 86A05 PDFBibTeX XMLCite \textit{Y.-T. Xu} et al., Appl. Math. Modelling 39, No. 21, 6438--6450 (2015; Zbl 1443.90332) Full Text: DOI
Jiang, Wei; Tian, Tian Numerical solution of nonlinear Volterra integro-differential equations of fractional order by the reproducing kernel method. (English) Zbl 1443.65113 Appl. Math. Modelling 39, No. 16, 4871-4876 (2015). MSC: 65L99 45J05 26A33 PDFBibTeX XMLCite \textit{W. Jiang} and \textit{T. Tian}, Appl. Math. Modelling 39, No. 16, 4871--4876 (2015; Zbl 1443.65113) Full Text: DOI
Sayevand, Khosro Analytical treatment of Volterra integro-differential equations of fractional order. (English) Zbl 1443.34087 Appl. Math. Modelling 39, No. 15, 4330-4336 (2015). MSC: 34K37 34K07 45J05 PDFBibTeX XMLCite \textit{K. Sayevand}, Appl. Math. Modelling 39, No. 15, 4330--4336 (2015; Zbl 1443.34087) Full Text: DOI
Maleki, Mohammad; Tavassoli Kajani, Majid Numerical approximations for Volterra’s population growth model with fractional order via a multi-domain pseudospectral method. (English) Zbl 1443.65442 Appl. Math. Modelling 39, No. 15, 4300-4308 (2015). MSC: 65R20 34K37 45J05 92D25 PDFBibTeX XMLCite \textit{M. Maleki} and \textit{M. Tavassoli Kajani}, Appl. Math. Modelling 39, No. 15, 4300--4308 (2015; Zbl 1443.65442) Full Text: DOI
Sierociuk, Dominik; Malesza, Wiktor; Macias, Michal Derivation, interpretation, and analog modelling of fractional variable order derivative definition. (English) Zbl 1443.26003 Appl. Math. Modelling 39, No. 13, 3876-3888 (2015). MSC: 26A33 PDFBibTeX XMLCite \textit{D. Sierociuk} et al., Appl. Math. Modelling 39, No. 13, 3876--3888 (2015; Zbl 1443.26003) Full Text: DOI arXiv
Khader, M. M. An efficient approximate method for solving fractional variational problems. (English) Zbl 1443.49037 Appl. Math. Modelling 39, No. 5-6, 1643-1649 (2015). MSC: 49M25 49K21 65K10 PDFBibTeX XMLCite \textit{M. M. Khader}, Appl. Math. Modelling 39, No. 5--6, 1643--1649 (2015; Zbl 1443.49037) Full Text: DOI
Maleknejad, K.; Asgari, M. The construction of operational matrix of fractional integration using triangular functions. (English) Zbl 1432.65199 Appl. Math. Modelling 39, No. 3-4, 1341-1351 (2015). MSC: 65R20 34K37 45E10 45G10 PDFBibTeX XMLCite \textit{K. Maleknejad} and \textit{M. Asgari}, Appl. Math. Modelling 39, No. 3--4, 1341--1351 (2015; Zbl 1432.65199) Full Text: DOI
Yadav, Renu; Kalkal, Kapil Kumar; Deswal, Sunita Two-temperature generalized thermoviscoelasticity with fractional order strain subjected to moving heat source: state space approach. (English) Zbl 1468.74016 J. Math. 2015, Article ID 487513, 13 p. (2015). MSC: 74F05 74D99 80A19 26A33 PDFBibTeX XMLCite \textit{R. Yadav} et al., J. Math. 2015, Article ID 487513, 13 p. (2015; Zbl 1468.74016) Full Text: DOI
Tarasov, Vasily E. Exact discrete analogs of derivatives of integer orders: differences as infinite series. (English) Zbl 1486.26005 J. Math. 2015, Article ID 134842, 8 p. (2015). MSC: 26A24 39A70 PDFBibTeX XMLCite \textit{V. E. Tarasov}, J. Math. 2015, Article ID 134842, 8 p. (2015; Zbl 1486.26005) Full Text: DOI
Malyshev, F. M. Bases of recurrent sequences. (Russian. English summary) Zbl 1441.05042 Chebyshevskiĭ Sb. 16, No. 2(54), 155-185 (2015). MSC: 05B30 11B37 26A24 PDFBibTeX XMLCite \textit{F. M. Malyshev}, Chebyshevskiĭ Sb. 16, No. 2(54), 155--185 (2015; Zbl 1441.05042) Full Text: DOI MNR
Cochrane, Todd; Goldstein, Lee \(N\)-tupling transformations and invariant definite integrals. (English) Zbl 1420.26007 Int. J. Appl. Comput. Math. 1, No. 4, 527-541 (2015). MSC: 26A42 26A33 26A48 26C15 PDFBibTeX XMLCite \textit{T. Cochrane} and \textit{L. Goldstein}, Int. J. Appl. Comput. Math. 1, No. 4, 527--541 (2015; Zbl 1420.26007) Full Text: DOI
Liu, Dongyuan; Ouyang, Zigen; Wang, Huilan Positive solutions for class of state dependent boundary value problems with fractional order differential operators. (English) Zbl 1470.34216 Abstr. Appl. Anal. 2015, Article ID 263748, 11 p. (2015). MSC: 34K37 34K10 PDFBibTeX XMLCite \textit{D. Liu} et al., Abstr. Appl. Anal. 2015, Article ID 263748, 11 p. (2015; Zbl 1470.34216) Full Text: DOI
Zhang, Hao; Wang, Xing-Yuan; Lin, Xiao-Hui Chaos and bifurcations in chaotic maps with parameter \(q\): numerical and analytical studies. (English) Zbl 1417.37176 Nonlinear Anal., Model. Control 20, No. 2, 249-262 (2015). MSC: 37G10 39A28 39A33 26A33 PDFBibTeX XMLCite \textit{H. Zhang} et al., Nonlinear Anal., Model. Control 20, No. 2, 249--262 (2015; Zbl 1417.37176) Full Text: DOI
Kumar, Dilip Some aspects of extended kinetic equation. (English) Zbl 1415.35164 Axioms 4, No. 3, 412-422 (2015). MSC: 35K57 PDFBibTeX XMLCite \textit{D. Kumar}, Axioms 4, No. 3, 412--422 (2015; Zbl 1415.35164) Full Text: DOI
Sebastian, Nicy Limiting approach to generalized gamma Bessel model via fractional calculus and its applications in various disciplines. (English) Zbl 1415.26003 Axioms 4, No. 3, 385-399 (2015). MSC: 26A33 33C10 33B15 PDFBibTeX XMLCite \textit{N. Sebastian}, Axioms 4, No. 3, 385--399 (2015; Zbl 1415.26003) Full Text: DOI arXiv
Richoux, Olivier; Lombard, Bruno; Mercier, Jean-François Generation of acoustic solitary waves in a lattice of Helmholtz resonators. (English) Zbl 1454.76085 Wave Motion 56, 85-99 (2015). MSC: 76Q05 35F61 35C08 PDFBibTeX XMLCite \textit{O. Richoux} et al., Wave Motion 56, 85--99 (2015; Zbl 1454.76085) Full Text: DOI HAL
Anastassiou, George A.; Argyros, Ioannis K. Newton-type methods on generalized Banach spaces and applications in fractional calculus. (English) Zbl 1461.65097 Algorithms (Basel) 8, No. 4, 832-849 (2015). MSC: 65J15 26A33 PDFBibTeX XMLCite \textit{G. A. Anastassiou} and \textit{I. K. Argyros}, Algorithms (Basel) 8, No. 4, 832--849 (2015; Zbl 1461.65097) Full Text: DOI
Set, Erhan; Tomar, Muharrem; Sarikaya, Mehmet Zeki On generalized Grüss type inequalities for \(k\)-fractional integrals. (English) Zbl 1410.26046 Appl. Math. Comput. 269, 29-34 (2015). MSC: 26D15 26A33 PDFBibTeX XMLCite \textit{E. Set} et al., Appl. Math. Comput. 269, 29--34 (2015; Zbl 1410.26046) Full Text: DOI
Wang, Wu-Sheng Estimation of unknown function of a class of integral inequalities and applications in fractional integral equations. (English) Zbl 1410.26047 Appl. Math. Comput. 268, 1029-1037 (2015). MSC: 26D15 26A33 45A99 PDFBibTeX XMLCite \textit{W.-S. Wang}, Appl. Math. Comput. 268, 1029--1037 (2015; Zbl 1410.26047) Full Text: DOI
Xiao, Cuie; Zeng, Biao; Liu, Zhenhai Feedback control for fractional impulsive evolution systems. (English) Zbl 1410.34179 Appl. Math. Comput. 268, 924-936 (2015). MSC: 34G20 34A08 34A37 49J21 93C20 93B05 PDFBibTeX XMLCite \textit{C. Xiao} et al., Appl. Math. Comput. 268, 924--936 (2015; Zbl 1410.34179) Full Text: DOI
Qi, Feng Derivatives of tangent function and tangent numbers. (English) Zbl 1410.11018 Appl. Math. Comput. 268, 844-858 (2015). MSC: 11B68 11B83 33B10 11C08 11M06 26A24 11B73 PDFBibTeX XMLCite \textit{F. Qi}, Appl. Math. Comput. 268, 844--858 (2015; Zbl 1410.11018) Full Text: DOI arXiv
Ghasemi, M.; Fardi, M.; Khoshsiar Ghaziani, R. Numerical solution of nonlinear delay differential equations of fractional order in reproducing kernel Hilbert space. (English) Zbl 1410.34185 Appl. Math. Comput. 268, 815-831 (2015). MSC: 34K07 34A08 34A45 34K37 46E22 PDFBibTeX XMLCite \textit{M. Ghasemi} et al., Appl. Math. Comput. 268, 815--831 (2015; Zbl 1410.34185) Full Text: DOI
Mohsen, Adel A. K. Eliminating the unbounded behavior of function derivative expansions in terms of sinc bases. (English) Zbl 1410.41014 Appl. Math. Comput. 268, 793-795 (2015). MSC: 41A30 41A05 PDFBibTeX XMLCite \textit{A. A. K. Mohsen}, Appl. Math. Comput. 268, 793--795 (2015; Zbl 1410.41014) Full Text: DOI
Chen, Feixiang Extensions of the Hermite-Hadamard inequality for harmonically convex functions via fractional integrals. (English) Zbl 1410.26034 Appl. Math. Comput. 268, 121-128 (2015). MSC: 26D15 26A33 26D10 PDFBibTeX XMLCite \textit{F. Chen}, Appl. Math. Comput. 268, 121--128 (2015; Zbl 1410.26034) Full Text: DOI
Idczak, Dariusz; Kamocki, Rafał; Majewski, Marek; Walczak, Stanisław Existence of optimal solutions to Lagrange problems for Roesser type systems of the first and fractional orders. (English) Zbl 1410.49002 Appl. Math. Comput. 266, 809-819 (2015). MSC: 49J15 PDFBibTeX XMLCite \textit{D. Idczak} et al., Appl. Math. Comput. 266, 809--819 (2015; Zbl 1410.49002) Full Text: DOI
Agarwal, Praveen; Chand, Mehar; Karimov, Erkinjon Tulkinovich Certain image formulas of generalized hypergeometric functions. (English) Zbl 1410.33003 Appl. Math. Comput. 266, 763-772 (2015). MSC: 33B15 26A33 33C60 33C45 33C15 33C20 33C99 44A10 PDFBibTeX XMLCite \textit{P. Agarwal} et al., Appl. Math. Comput. 266, 763--772 (2015; Zbl 1410.33003) Full Text: DOI
Cerone, Pietro; Dragomir, Sever S.; Kikianty, Eder Jensen-Ostrowski type inequalities and applications for \(f\)-divergence measures. (English) Zbl 1410.26029 Appl. Math. Comput. 266, 304-315 (2015). MSC: 26D10 26D15 94A17 PDFBibTeX XMLCite \textit{P. Cerone} et al., Appl. Math. Comput. 266, 304--315 (2015; Zbl 1410.26029) Full Text: DOI
Suganya, S.; Mallika Arjunan, M.; Trujillo, J. J. Existence results for an impulsive fractional integro-differential equation with state-dependent delay. (English) Zbl 1410.34242 Appl. Math. Comput. 266, 54-69 (2015). MSC: 34K45 34A08 34K37 35R11 35R12 45J05 PDFBibTeX XMLCite \textit{S. Suganya} et al., Appl. Math. Comput. 266, 54--69 (2015; Zbl 1410.34242) Full Text: DOI
Koca, Ilknur A method for solving differential equations of \(q\)-fractional order. (English) Zbl 1410.34024 Appl. Math. Comput. 266, 1-5 (2015). MSC: 34A08 39A13 05A30 PDFBibTeX XMLCite \textit{I. Koca}, Appl. Math. Comput. 266, 1--5 (2015; Zbl 1410.34024) Full Text: DOI
Gupta, Anjali; Parihar, C. L. Fractional differintegral operators of the generalized Mittag-Leffler function. (English) Zbl 1415.33009 Bol. Soc. Parana. Mat. (3) 33, No. 1, 139-146 (2015). MSC: 33E12 26A33 33C45 PDFBibTeX XMLCite \textit{A. Gupta} and \textit{C. L. Parihar}, Bol. Soc. Parana. Mat. (3) 33, No. 1, 139--146 (2015; Zbl 1415.33009) Full Text: Link
Moslehi, Leila; Ansari, Alireza Integral representations of products of Airy functions related to fractional calculus. (English) Zbl 1412.44002 J. Class. Anal. 7, No. 2, 99-112 (2015). MSC: 44A10 26A33 33C10 PDFBibTeX XMLCite \textit{L. Moslehi} and \textit{A. Ansari}, J. Class. Anal. 7, No. 2, 99--112 (2015; Zbl 1412.44002) Full Text: DOI
Farid, Ghulam; Pečarić, Josip; Tomovski, Zivorad Opial-type inequalities for fractional integral operator involving Mittag-Leffler function. (English) Zbl 1412.26047 Fract. Differ. Calc. 5, No. 1, 93-106 (2015). MSC: 26D15 26A33 33E12 PDFBibTeX XMLCite \textit{G. Farid} et al., Fract. Differ. Calc. 5, No. 1, 93--106 (2015; Zbl 1412.26047) Full Text: DOI
Gautam, Ganga Ram; Dabas, Jaydev Existence of mild solutions for impulsive fractional functional integro-differential equations. (English) Zbl 1415.34122 Fract. Differ. Calc. 5, No. 1, 65-77 (2015). MSC: 34K37 34K45 34A37 45J05 PDFBibTeX XMLCite \textit{G. R. Gautam} and \textit{J. Dabas}, Fract. Differ. Calc. 5, No. 1, 65--77 (2015; Zbl 1415.34122) Full Text: DOI
Afshari, Elham; Sepehrian, Behnam; Nazari, Ali Mohamad Finite difference method for solving the space-time fractional wave equation in the Caputo form. (English) Zbl 1412.35361 Fract. Differ. Calc. 5, No. 1, 55-63 (2015). MSC: 35R11 26A33 65M06 65M12 PDFBibTeX XMLCite \textit{E. Afshari} et al., Fract. Differ. Calc. 5, No. 1, 55--63 (2015; Zbl 1412.35361) Full Text: DOI
Andrić, Maja; Barbir, Ana; Iqbal, Sajid; Pečarić, Josip An Opial-type integral inequality and exponentially convex functions. (English) Zbl 1412.26033 Fract. Differ. Calc. 5, No. 1, 25-42 (2015). MSC: 26D10 26D15 26A33 PDFBibTeX XMLCite \textit{M. Andrić} et al., Fract. Differ. Calc. 5, No. 1, 25--42 (2015; Zbl 1412.26033) Full Text: DOI
Prajapat, J. K. Subordination results on multivalent functions related to the Saigo fractional differintegral operator. (English) Zbl 1412.30069 Fract. Differ. Calc. 5, No. 1, 1-14 (2015). MSC: 30C45 26A33 PDFBibTeX XMLCite \textit{J. K. Prajapat}, Fract. Differ. Calc. 5, No. 1, 1--14 (2015; Zbl 1412.30069) Full Text: DOI