Zheng, Rumeng; Zhang, Hui Unconditionally convergent numerical method for the fractional activator-inhibitor system with anomalous diffusion. (English) Zbl 07824682 ZAMM, Z. Angew. Math. Mech. 103, No. 6, Article ID e202100546, 16 p. (2023). MSC: 65M70 65M06 65N35 65M15 42C10 35K57 26A33 35R11 PDFBibTeX XMLCite \textit{R. Zheng} and \textit{H. Zhang}, ZAMM, Z. Angew. Math. Mech. 103, No. 6, Article ID e202100546, 16 p. (2023; Zbl 07824682) Full Text: DOI
Zhang, Run-Jie; Wang, Liming; Wu, Kai-Ning Finite-time boundary stabilization of fractional reaction-diffusion systems. (English) Zbl 07781818 Math. Methods Appl. Sci. 46, No. 4, 4612-4627 (2023). MSC: 34A08 34H15 PDFBibTeX XMLCite \textit{R.-J. Zhang} et al., Math. Methods Appl. Sci. 46, No. 4, 4612--4627 (2023; Zbl 07781818) Full Text: DOI
Song, Kerui; Lyu, Pin A high-order and fast scheme with variable time steps for the time-fractional Black-Scholes equation. (English) Zbl 07781286 Math. Methods Appl. Sci. 46, No. 2, 1990-2011 (2023). MSC: 65M06 65M12 35R11 91-08 PDFBibTeX XMLCite \textit{K. Song} and \textit{P. Lyu}, Math. Methods Appl. Sci. 46, No. 2, 1990--2011 (2023; Zbl 07781286) Full Text: DOI arXiv
Ma, Wenjun; Sun, Liangliang Inverse potential problem for a semilinear generalized fractional diffusion equation with spatio-temporal dependent coefficients. (English) Zbl 1504.35652 Inverse Probl. 39, No. 1, Article ID 015005, 29 p. (2023). MSC: 35R30 35K20 35K58 35R11 PDFBibTeX XMLCite \textit{W. Ma} and \textit{L. Sun}, Inverse Probl. 39, No. 1, Article ID 015005, 29 p. (2023; Zbl 1504.35652) Full Text: DOI
Fardi, Mojtaba; Al-Omari, Shrideh K. Qasem; Araci, Serkan A pseudo-spectral method based on reproducing kernel for solving the time-fractional diffusion-wave equation. (English) Zbl 07636100 Adv. Contin. Discrete Models 2022, Paper No. 54, 14 p. (2022). MSC: 39-XX 34-XX PDFBibTeX XMLCite \textit{M. Fardi} et al., Adv. Contin. Discrete Models 2022, Paper No. 54, 14 p. (2022; Zbl 07636100) Full Text: DOI
Sun, Liangliang; Chang, Maoli On the reconstruction of convection coefficient in a semilinear anomalous diffusion system. (English) Zbl 1498.35628 Taiwanese J. Math. 26, No. 5, 927-951 (2022). MSC: 35R30 35R11 35R25 35K20 65M30 65M32 PDFBibTeX XMLCite \textit{L. Sun} and \textit{M. Chang}, Taiwanese J. Math. 26, No. 5, 927--951 (2022; Zbl 1498.35628) Full Text: DOI
Fardi, M.; Amini, E. Numerical investigation of a new difference scheme on a graded mesh for solving the time-space fractional sub-diffusion equations with nonsmooth solutions. (Persian. English summary) Zbl 07588269 JAMM, J. Adv. Math. Model. 12, No. 2, 212-231 (2022). MSC: 65-XX 39-XX PDFBibTeX XMLCite \textit{M. Fardi} and \textit{E. Amini}, JAMM, J. Adv. Math. Model. 12, No. 2, 212--231 (2022; Zbl 07588269) Full Text: DOI
Garrappa, Roberto; Popolizio, Marina A computationally efficient strategy for time-fractional diffusion-reaction equations. (English) Zbl 1524.65339 Comput. Math. Appl. 116, 181-193 (2022). MSC: 65M06 35R11 65R20 PDFBibTeX XMLCite \textit{R. Garrappa} and \textit{M. Popolizio}, Comput. Math. Appl. 116, 181--193 (2022; Zbl 1524.65339) Full Text: DOI
Maleknejad, Khosrow; Rashidinia, Jalil; Eftekhari, Tahereh A new and efficient numerical method based on shifted fractional-order Jacobi operational matrices for solving some classes of two-dimensional nonlinear fractional integral equations. (English) Zbl 07776092 Numer. Methods Partial Differ. Equations 37, No. 3, 2687-2713 (2021). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{K. Maleknejad} et al., Numer. Methods Partial Differ. Equations 37, No. 3, 2687--2713 (2021; Zbl 07776092) Full Text: DOI
Hammad, Hasanen A.; de la Sen, Manuel Tripled fixed point techniques for solving system of tripled-fractional differential equations. (English) Zbl 1525.34021 AIMS Math. 6, No. 3, 2330-2343 (2021). MSC: 34A08 54H25 45J05 65R20 PDFBibTeX XMLCite \textit{H. A. Hammad} and \textit{M. de la Sen}, AIMS Math. 6, No. 3, 2330--2343 (2021; Zbl 1525.34021) Full Text: DOI
Mesloub, Said; Aldosari, Faten Well posedness for a singular two dimensional fractional initial boundary value problem with Bessel operator involving boundary integral conditions. (English) Zbl 1525.35234 AIMS Math. 6, No. 9, 9786-9812 (2021). MSC: 35R11 35B45 PDFBibTeX XMLCite \textit{S. Mesloub} and \textit{F. Aldosari}, AIMS Math. 6, No. 9, 9786--9812 (2021; Zbl 1525.35234) Full Text: DOI
Yuan, Huifang An efficient spectral-Galerkin method for fractional reaction-diffusion equations in unbounded domains. (English) Zbl 07511437 J. Comput. Phys. 428, Article ID 110083, 17 p. (2021). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{H. Yuan}, J. Comput. Phys. 428, Article ID 110083, 17 p. (2021; Zbl 07511437) Full Text: DOI arXiv
Ramezani, Mohammad Numerical analysis WSGD scheme for one- and two-dimensional distributed order fractional reaction-diffusion equation with collocation method via fractional B-spline. (English) Zbl 07486479 Int. J. Appl. Comput. Math. 7, No. 2, Paper No. 41, 29 p. (2021). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{M. Ramezani}, Int. J. Appl. Comput. Math. 7, No. 2, Paper No. 41, 29 p. (2021; Zbl 07486479) Full Text: DOI
Lu, Xin; Fang, Zhi-Wei; Sun, Hai-Wei Splitting preconditioning based on sine transform for time-dependent Riesz space fractional diffusion equations. (English) Zbl 1475.65015 J. Appl. Math. Comput. 66, No. 1-2, 673-700 (2021). MSC: 65F08 65F10 65M06 65M22 PDFBibTeX XMLCite \textit{X. Lu} et al., J. Appl. Math. Comput. 66, No. 1--2, 673--700 (2021; Zbl 1475.65015) Full Text: DOI
Ren, Caixuan; Huang, Xinchi; Yamamoto, Masahiro Conditional stability for an inverse coefficient problem of a weakly coupled time-fractional diffusion system with half order by Carleman estimate. (English) Zbl 1475.35397 J. Inverse Ill-Posed Probl. 29, No. 5, 635-651 (2021). MSC: 35R11 35R30 35K51 PDFBibTeX XMLCite \textit{C. Ren} et al., J. Inverse Ill-Posed Probl. 29, No. 5, 635--651 (2021; Zbl 1475.35397) Full Text: DOI
Chen, Jungang; Qin, Xi Monotone iterative method for two types of integral boundary value problems of a nonlinear fractional differential system with deviating arguments. (English) Zbl 1477.34103 J. Math. 2021, Article ID 6650811, 8 p. (2021). MSC: 34K37 34B10 34K07 34K10 PDFBibTeX XMLCite \textit{J. Chen} and \textit{X. Qin}, J. Math. 2021, Article ID 6650811, 8 p. (2021; Zbl 1477.34103) Full Text: DOI
Huang, Xin; Sun, Hai-Wei A preconditioner based on sine transform for two-dimensional semi-linear Riesz space fractional diffusion equations in convex domains. (English) Zbl 1486.65106 Appl. Numer. Math. 169, 289-302 (2021). MSC: 65M06 65F08 65F10 65M12 15B05 15A18 26A33 35R11 PDFBibTeX XMLCite \textit{X. Huang} and \textit{H.-W. Sun}, Appl. Numer. Math. 169, 289--302 (2021; Zbl 1486.65106) Full Text: DOI arXiv
Almalahi, Mohammed A.; Abdo, Mohammed S.; Panchal, Satish K. Existence and Ulam-Hyers stability results of a coupled system of \(\psi\)-Hilfer sequential fractional differential equations. (English) Zbl 1471.34013 Results Appl. Math. 10, Article ID 100142, 15 p. (2021). MSC: 34A08 34B15 34D10 47N20 PDFBibTeX XMLCite \textit{M. A. Almalahi} et al., Results Appl. Math. 10, Article ID 100142, 15 p. (2021; Zbl 1471.34013) Full Text: DOI
Mahmudov, Elimhan N.; Yusubov, Shakir Sh. Nonlocal boundary value problems for hyperbolic equations with a Caputo fractional derivative. (English) Zbl 1469.35228 J. Comput. Appl. Math. 398, Article ID 113709, 15 p. (2021). MSC: 35R11 35L20 PDFBibTeX XMLCite \textit{E. N. Mahmudov} and \textit{S. Sh. Yusubov}, J. Comput. Appl. Math. 398, Article ID 113709, 15 p. (2021; Zbl 1469.35228) Full Text: DOI
Zhang, Peng; Li, Ping; Xiu, Guohua; Rodrigues, Alirio E. Modeling Riemann-Liouville fractional differential equations for diffusion and reaction in fractal porous media. (English) Zbl 1466.92307 J. Math. Chem. 59, No. 2, 459-475 (2021). MSC: 92E20 35K57 PDFBibTeX XMLCite \textit{P. Zhang} et al., J. Math. Chem. 59, No. 2, 459--475 (2021; Zbl 1466.92307) Full Text: DOI
Zheng, Rumeng; Zhang, Hui; Jiang, Xiaoyun Legendre spectral methods based on two families of novel second-order numerical formulas for the fractional activator-inhibitor system. (English) Zbl 1466.65160 Appl. Numer. Math. 162, 235-248 (2021). MSC: 65M70 65N35 65M12 35R11 PDFBibTeX XMLCite \textit{R. Zheng} et al., Appl. Numer. Math. 162, 235--248 (2021; Zbl 1466.65160) Full Text: DOI
Bourafa, S.; Abdelouahab, M.-S.; Moussaoui, A. On some extended Routh-Hurwitz conditions for fractional-order autonomous systems of order \(\alpha\in (0, 2)\) and their applications to some population dynamic models. (English) Zbl 1483.34011 Chaos Solitons Fractals 133, Article ID 109623, 9 p. (2020). MSC: 34A08 26A33 92D25 PDFBibTeX XMLCite \textit{S. Bourafa} et al., Chaos Solitons Fractals 133, Article ID 109623, 9 p. (2020; Zbl 1483.34011) Full Text: DOI
Hashem, H. H. G. Continuous dependence of solutions of coupled systems of state dependent functional equations. (English) Zbl 1479.34021 Adv. Differ. Equ. Control Process. 22, No. 2, 121-135 (2020). MSC: 34A12 45D05 PDFBibTeX XMLCite \textit{H. H. G. Hashem}, Adv. Differ. Equ. Control Process. 22, No. 2, 121--135 (2020; Zbl 1479.34021) Full Text: DOI
You, Jin; Sun, Shurong On impulsive coupled hybrid fractional differential systems in Banach algebras. (English) Zbl 1475.34010 J. Appl. Math. Comput. 62, No. 1-2, 189-205 (2020). MSC: 34A08 34B37 37C25 PDFBibTeX XMLCite \textit{J. You} and \textit{S. Sun}, J. Appl. Math. Comput. 62, No. 1--2, 189--205 (2020; Zbl 1475.34010) Full Text: DOI
Ma, Hongcai; Bai, Yunxiang; Deng, Aiping Multiple lump solutions of the \((4+1)\)-dimensional Fokas equation. (English) Zbl 1478.35084 Adv. Math. Phys. 2020, Article ID 3407676, 7 p. (2020). MSC: 35C08 35G25 68W30 PDFBibTeX XMLCite \textit{H. Ma} et al., Adv. Math. Phys. 2020, Article ID 3407676, 7 p. (2020; Zbl 1478.35084) Full Text: DOI
Houas, Mohamed; Melha, Khellaf Ould Existence and uniqueness results for a coupled system of Hadamard fractional differential equations with multi-point boundary conditions. (English) Zbl 1488.34039 Facta Univ., Ser. Math. Inf. 35, No. 3, 843-856 (2020). MSC: 34A08 34B10 47N20 PDFBibTeX XMLCite \textit{M. Houas} and \textit{K. O. Melha}, Facta Univ., Ser. Math. Inf. 35, No. 3, 843--856 (2020; Zbl 1488.34039) Full Text: DOI
Aouane, Abdeldjalil; Djebali, Smaïl; Taoudi, Mohamed Aziz Mild solutions of a class of semilinear fractional integro-differential equations subjected to noncompact nonlocal initial conditions. (English) Zbl 1464.45012 Cubo 22, No. 3, 361-377 (2020). MSC: 45J05 34K37 34K30 47D09 47D60 47H08 47H10 PDFBibTeX XMLCite \textit{A. Aouane} et al., Cubo 22, No. 3, 361--377 (2020; Zbl 1464.45012) Full Text: DOI
Saker, S. H.; Logaarasi, K.; Sadhasivam, V. Forced oscillation of conformable fractional partial delay differential equations with impulses. (English) Zbl 1456.35220 Ann. Univ. Mariae Curie-Skłodowska, Sect. A 74, No. 2, 61-80 (2020). MSC: 35R11 35R12 35R10 35B05 PDFBibTeX XMLCite \textit{S. H. Saker} et al., Ann. Univ. Mariae Curie-Skłodowska, Sect. A 74, No. 2, 61--80 (2020; Zbl 1456.35220) Full Text: DOI
Ahmad, Bashir; Alsaedi, Ahmed; Berbiche, Mohamed; Kirane, Mokhtar Existence of global solutions and blow-up of solutions for coupled systems of fractional diffusion equations. (English) Zbl 1454.35408 Electron. J. Differ. Equ. 2020, Paper No. 110, 28 p. (2020). MSC: 35R11 35R09 35K45 35B44 45K05 PDFBibTeX XMLCite \textit{B. Ahmad} et al., Electron. J. Differ. Equ. 2020, Paper No. 110, 28 p. (2020; Zbl 1454.35408) Full Text: arXiv Link
Ben Makhlouf, Sonia; Chaieb, Majda; Zine El Abidine, Zagharide Existence and asymptotic behavior of positive solutions for a coupled fractional differential system. (English) Zbl 1455.34005 Differ. Equ. Dyn. Syst. 28, No. 4, 953-998 (2020). MSC: 34A08 34B18 34B27 47N20 34B16 PDFBibTeX XMLCite \textit{S. Ben Makhlouf} et al., Differ. Equ. Dyn. Syst. 28, No. 4, 953--998 (2020; Zbl 1455.34005) Full Text: DOI
Datsko, B.; Kutniv, M.; Włoch, A. Mathematical modelling of pattern formation in activator-inhibitor reaction-diffusion systems with anomalous diffusion. (English) Zbl 1432.92117 J. Math. Chem. 58, No. 3, 612-631 (2020). MSC: 92E20 35B36 35K57 35Q92 PDFBibTeX XMLCite \textit{B. Datsko} et al., J. Math. Chem. 58, No. 3, 612--631 (2020; Zbl 1432.92117) Full Text: DOI
Datsko, Bohdan Complex dynamics in basic two-component auto-oscillation systems with fractional derivatives of different orders. (English) Zbl 1427.93084 Malinowska, Agnieszka B. (ed.) et al., Advances in non-integer order calculus and its applications. Proceedings of the 10th international conference on non-integer order calculus and its applications, Bialystok University of Technology, Białystok, Poland, September 20–21, 2018. Cham: Springer. Lect. Notes Electr. Eng. 559, 99-112 (2020). MSC: 93C15 93B52 26A33 93C10 PDFBibTeX XMLCite \textit{B. Datsko}, Lect. Notes Electr. Eng. 559, 99--112 (2020; Zbl 1427.93084) Full Text: DOI
Abdrabo, Nasser S. Comments on the different structures of a dynamic system modeling. (English) Zbl 1523.34071 Adv. Differ. Equ. Control Process. 20, No. 2, 163-171 (2019). MSC: 34K20 34K37 PDFBibTeX XMLCite \textit{N. S. Abdrabo}, Adv. Differ. Equ. Control Process. 20, No. 2, 163--171 (2019; Zbl 1523.34071) Full Text: DOI
Zhang, Jun; Chen, Hu; Lin, Shimin; Wang, Jinrong Finite difference/spectral approximation for a time-space fractional equation on two and three space dimensions. (English) Zbl 1442.65185 Comput. Math. Appl. 78, No. 6, 1937-1946 (2019). MSC: 65M06 35R11 65M70 PDFBibTeX XMLCite \textit{J. Zhang} et al., Comput. Math. Appl. 78, No. 6, 1937--1946 (2019; Zbl 1442.65185) Full Text: DOI
Hassani, Hossein; Avazzadeh, Zakieh Transcendental Bernstein series for solving nonlinear variable order fractional optimal control problems. (English) Zbl 1433.49044 Appl. Math. Comput. 362, Article ID 124563, 10 p. (2019). MSC: 49M25 34A08 49K15 PDFBibTeX XMLCite \textit{H. Hassani} and \textit{Z. Avazzadeh}, Appl. Math. Comput. 362, Article ID 124563, 10 p. (2019; Zbl 1433.49044) Full Text: DOI
Liu, Wenhao; Zhang, Yufeng Multiple rogue wave solutions for a (3+1)-dimensional Hirota bilinear equation. (English) Zbl 1426.35085 Appl. Math. Lett. 98, 184-190 (2019). MSC: 35G25 37K10 68W30 PDFBibTeX XMLCite \textit{W. Liu} and \textit{Y. Zhang}, Appl. Math. Lett. 98, 184--190 (2019; Zbl 1426.35085) Full Text: DOI
Pandir, Yusuf; Yildirim, Ayse Analytical approach for the fractional differential equations by using the extended tanh method. (English) Zbl 07583363 Waves Random Complex Media 28, No. 3, 399-410 (2018). MSC: 74-XX 78-XX PDFBibTeX XMLCite \textit{Y. Pandir} and \textit{A. Yildirim}, Waves Random Complex Media 28, No. 3, 399--410 (2018; Zbl 07583363) Full Text: DOI
Zhang, Yinghan Existence results for a coupled system of nonlinear fractional multi-point boundary value problems at resonance. (English) Zbl 1498.34051 J. Inequal. Appl. 2018, Paper No. 198, 17 p. (2018). MSC: 34A08 26A33 34B15 34B10 47N20 PDFBibTeX XMLCite \textit{Y. Zhang}, J. Inequal. Appl. 2018, Paper No. 198, 17 p. (2018; Zbl 1498.34051) Full Text: DOI
Al-Mdallal, Qasem M. On fractional-Legendre spectral Galerkin method for fractional Sturm-Liouville problems. (English) Zbl 1442.34055 Chaos Solitons Fractals 116, 261-267 (2018). MSC: 34B24 34A08 PDFBibTeX XMLCite \textit{Q. M. Al-Mdallal}, Chaos Solitons Fractals 116, 261--267 (2018; Zbl 1442.34055) Full Text: DOI
Chen, Hao; Zhang, Tongtong; Lv, Wen Block preconditioning strategies for time-space fractional diffusion equations. (English) Zbl 1427.65219 Appl. Math. Comput. 337, 41-53 (2018). MSC: 65M22 35R11 65F08 65M06 PDFBibTeX XMLCite \textit{H. Chen} et al., Appl. Math. Comput. 337, 41--53 (2018; Zbl 1427.65219) Full Text: DOI
Al-Mdallal, Qasem M.; Abu Omer, Ahmed S. Fractional-order Legendre-collocation method for solving fractional initial value problems. (English) Zbl 1426.65110 Appl. Math. Comput. 321, 74-84 (2018). MSC: 65L60 34A08 65L05 PDFBibTeX XMLCite \textit{Q. M. Al-Mdallal} and \textit{A. S. Abu Omer}, Appl. Math. Comput. 321, 74--84 (2018; Zbl 1426.65110) 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
Chasreechai, Saowaluck; Sitthiwirattham, Thanin Existence results of initial value problems for hybrid fractional sum-difference equations. (English) Zbl 1417.39011 Discrete Dyn. Nat. Soc. 2018, Article ID 5268528, 12 p. (2018). MSC: 39A12 PDFBibTeX XMLCite \textit{S. Chasreechai} and \textit{T. Sitthiwirattham}, Discrete Dyn. Nat. Soc. 2018, Article ID 5268528, 12 p. (2018; Zbl 1417.39011) Full Text: DOI
Ezz-Eldien, Samer S.; Bhrawy, Ali H.; El-Kalaawy, Ahmed A. Direct numerical method for isoperimetric fractional variational problems based on operational matrix. (English) Zbl 1402.93110 J. Vib. Control 24, No. 14, 3063-3076 (2018). MSC: 93B40 34A08 PDFBibTeX XMLCite \textit{S. S. Ezz-Eldien} et al., J. Vib. Control 24, No. 14, 3063--3076 (2018; Zbl 1402.93110) Full Text: DOI
Povstenko, Yuriy; Klekot, Joanna Fractional heat conduction with heat absorption in a sphere under Dirichlet boundary condition. (English) Zbl 1400.35223 Comput. Appl. Math. 37, No. 4, 4475-4483 (2018). MSC: 35R11 35K05 45K05 PDFBibTeX XMLCite \textit{Y. Povstenko} and \textit{J. Klekot}, Comput. Appl. Math. 37, No. 4, 4475--4483 (2018; Zbl 1400.35223) Full Text: DOI
Moaddy, Khaled; Freihat, Asad; Al-Smadi, Mohammed; Abuteen, Eman; Hashim, Ishak Numerical investigation for handling fractional-order Rabinovich-Fabrikant model using the multistep approach. (English) Zbl 1398.65174 Soft Comput. 22, No. 3, 773-782 (2018). MSC: 65L06 34A08 37D45 37M05 PDFBibTeX XMLCite \textit{K. Moaddy} et al., Soft Comput. 22, No. 3, 773--782 (2018; Zbl 1398.65174) Full Text: DOI
Datsko, Bohdan; Gafiychuk, Vasyl Complex spatio-temporal solutions in fractional reaction-diffusion systems near a bifurcation point. (English) Zbl 1390.35149 Fract. Calc. Appl. Anal. 21, No. 1, 237-253 (2018). MSC: 35K57 35K55 35K61 35M33 PDFBibTeX XMLCite \textit{B. Datsko} and \textit{V. Gafiychuk}, Fract. Calc. Appl. Anal. 21, No. 1, 237--253 (2018; Zbl 1390.35149) Full Text: DOI
Chen, Hao; Lv, Wen; Zhang, Tongtong A Kronecker product splitting preconditioner for two-dimensional space-fractional diffusion equations. (English) Zbl 1395.65007 J. Comput. Phys. 360, 1-14 (2018). MSC: 65F08 65M06 65F10 35R11 PDFBibTeX XMLCite \textit{H. Chen} et al., J. Comput. Phys. 360, 1--14 (2018; Zbl 1395.65007) Full Text: DOI
Abdeljawad, Thabet; Al-Mdallal, Qasem M. Discrete Mittag-Leffler kernel type fractional difference initial value problems and Gronwall’s inequality. (English) Zbl 1472.39006 J. Comput. Appl. Math. 339, 218-230 (2018). Reviewer: Raghib Abu-Saris (Edmonton) MSC: 39A12 39A13 39A27 26A33 PDFBibTeX XMLCite \textit{T. Abdeljawad} and \textit{Q. M. Al-Mdallal}, J. Comput. Appl. Math. 339, 218--230 (2018; Zbl 1472.39006) Full Text: DOI
Akram, Ghazala; Anjum, Fareeha Study of fractional boundary value problem using Mittag-Leffler function with two point periodic boundary conditions. (English) Zbl 1387.34002 Int. J. Appl. Comput. Math. 4, No. 1, Paper No. 27, 13 p. (2018). MSC: 34A08 34B15 PDFBibTeX XMLCite \textit{G. Akram} and \textit{F. Anjum}, Int. J. Appl. Comput. Math. 4, No. 1, Paper No. 27, 13 p. (2018; Zbl 1387.34002) Full Text: DOI
Hashem, H. H. G. Solvability of a \(2 \times 2\) block operator matrix of Chandrasekhar type on a Banach algebra. (Solvability of a \(2 \times 2\) block operator matrix of Chandrasekhar type on a Bananch algebra.) (English) Zbl 1499.45015 Filomat 31, No. 16, 5169-5175 (2017). MSC: 45G15 47H10 PDFBibTeX XMLCite \textit{H. H. G. Hashem}, Filomat 31, No. 16, 5169--5175 (2017; Zbl 1499.45015) Full Text: DOI
Chen, Y.; Chen, Chang-Ming Numerical simulation with high order accuracy for the time fractional reaction-subdiffusion equation. (English) Zbl 07313856 Math. Comput. Simul. 140, 125-138 (2017). MSC: 65M06 35R11 65M12 PDFBibTeX XMLCite \textit{Y. Chen} and \textit{C.-M. Chen}, Math. Comput. Simul. 140, 125--138 (2017; Zbl 07313856) Full Text: DOI
Owolabi, Kolade M. Robust and adaptive techniques for numerical simulation of nonlinear partial differential equations of fractional order. (English) Zbl 1465.65108 Commun. Nonlinear Sci. Numer. Simul. 44, 304-317 (2017). MSC: 65M70 65M06 35K57 35B36 35R11 PDFBibTeX XMLCite \textit{K. M. Owolabi}, Commun. Nonlinear Sci. Numer. Simul. 44, 304--317 (2017; Zbl 1465.65108) Full Text: DOI
Agarwal, Ritu; Jain, Sonal; Agarwal, R. P. Analytic solution of generalized space time fractional reaction diffusion equation. (English) Zbl 1424.35334 Fract. Differ. Calc. 7, No. 1, 169-184 (2017). MSC: 35R11 35C15 33E12 26A33 PDFBibTeX XMLCite \textit{R. Agarwal} et al., Fract. Differ. Calc. 7, No. 1, 169--184 (2017; Zbl 1424.35334) Full Text: DOI
Xue, Tingting; Liu, Wenbin; Zhang, Wei Existence of solutions for Sturm-Liouville boundary value problems of higher-order coupled fractional differential equations at resonance. (English) Zbl 1422.34070 Adv. Difference Equ. 2017, Paper No. 301, 18 p. (2017). MSC: 34A08 26A33 34B10 34B15 47N20 PDFBibTeX XMLCite \textit{T. Xue} et al., Adv. Difference Equ. 2017, Paper No. 301, 18 p. (2017; Zbl 1422.34070) Full Text: DOI
Dahaghin, M. Sh.; Hassani, H. An optimization method based on the generalized polynomials for nonlinear variable-order time fractional diffusion-wave equation. (English) Zbl 1380.35158 Nonlinear Dyn. 88, No. 3, 1587-1598 (2017). MSC: 35R11 35K57 PDFBibTeX XMLCite \textit{M. Sh. Dahaghin} and \textit{H. Hassani}, Nonlinear Dyn. 88, No. 3, 1587--1598 (2017; Zbl 1380.35158) Full Text: DOI
Hou, Dianming; Xu, Chuanju A fractional spectral method with applications to some singular problems. (English) Zbl 1382.65467 Adv. Comput. Math. 43, No. 5, 911-944 (2017). Reviewer: Kai Diethelm (Braunschweig) MSC: 65R20 65L60 65N35 65M70 45K05 41A10 41A25 26A33 35R11 34A08 PDFBibTeX XMLCite \textit{D. Hou} and \textit{C. Xu}, Adv. Comput. Math. 43, No. 5, 911--944 (2017; Zbl 1382.65467) Full Text: DOI
Owolabi, Kolade M. Mathematical modelling and analysis of two-component system with Caputo fractional derivative order. (English) Zbl 1375.35257 Chaos Solitons Fractals 103, 544-554 (2017). MSC: 35K57 35R11 65M06 PDFBibTeX XMLCite \textit{K. M. Owolabi}, Chaos Solitons Fractals 103, 544--554 (2017; Zbl 1375.35257) Full Text: DOI
Zine El Abidine, Zagharide Multiple positive solutions for a coupled system of nonlinear fractional differential equations on the half-line. (English) Zbl 1379.34017 Mediterr. J. Math. 14, No. 3, Paper No. 142, 16 p. (2017). MSC: 34A08 34B18 34B40 PDFBibTeX XMLCite \textit{Z. Zine El Abidine}, Mediterr. J. Math. 14, No. 3, Paper No. 142, 16 p. (2017; Zbl 1379.34017) Full Text: DOI
Alfifi, Hassan Yahya; Ben Saad, Imen; Turki, Sameh; Zine El Abidine, Zagharide Existence and asymptotic behavior of positive solutions for a coupled system of semilinear fractional differential equations. (English) Zbl 1377.34006 Result. Math. 71, No. 3-4, 705-730 (2017). MSC: 34A08 34B27 34B15 47N20 PDFBibTeX XMLCite \textit{H. Y. Alfifi} et al., Result. Math. 71, No. 3--4, 705--730 (2017; Zbl 1377.34006) Full Text: DOI
Burrage, Kevin; Cardone, Angelamaria; D’Ambrosio, Raffaele; Paternoster, Beatrice Numerical solution of time fractional diffusion systems. (English) Zbl 1372.65228 Appl. Numer. Math. 116, 82-94 (2017). MSC: 65M06 35K05 35R11 65M70 65M12 35K57 PDFBibTeX XMLCite \textit{K. Burrage} et al., Appl. Numer. Math. 116, 82--94 (2017; Zbl 1372.65228) Full Text: DOI Link
Song, Fangying; Xu, Chuanju; Karniadakis, George Em Computing fractional Laplacians on complex-geometry domains: algorithms and simulations. (English) Zbl 1380.65357 SIAM J. Sci. Comput. 39, No. 4, A1320-A1344 (2017). MSC: 65N25 35R11 35Q30 65N35 76M22 76D05 PDFBibTeX XMLCite \textit{F. Song} et al., SIAM J. Sci. Comput. 39, No. 4, A1320--A1344 (2017; Zbl 1380.65357) Full Text: DOI
Hashem, H. H. G.; El-Sayed, A. M. A. Stabilization of coupled systems of quadratic integral equations of Chandrasekhar type. (English) Zbl 1368.45001 Math. Nachr. 290, No. 2-3, 341-348 (2017). Reviewer: Christopher Goodrich (Omaha) MSC: 45G15 47H10 45M05 45M10 PDFBibTeX XMLCite \textit{H. H. G. Hashem} and \textit{A. M. A. El-Sayed}, Math. Nachr. 290, No. 2--3, 341--348 (2017; Zbl 1368.45001) Full Text: DOI
Janno, Jaan; Kasemets, Kairi Uniqueness for an inverse problem for a semilinear time-fractional diffusion equation. (English) Zbl 1357.35296 Inverse Probl. Imaging 11, No. 1, 125-149 (2017). MSC: 35R30 35R11 35A02 80A23 PDFBibTeX XMLCite \textit{J. Janno} and \textit{K. Kasemets}, Inverse Probl. Imaging 11, No. 1, 125--149 (2017; Zbl 1357.35296) Full Text: DOI arXiv
Bhrawy, A. H.; Zaky, M. A. Shifted fractional-order Jacobi orthogonal functions: application to a system of fractional differential equations. (English) Zbl 1446.34011 Appl. Math. Modelling 40, No. 2, 832-845 (2016). MSC: 34A08 26A33 33C47 65L60 PDFBibTeX XMLCite \textit{A. H. Bhrawy} and \textit{M. A. Zaky}, Appl. Math. Modelling 40, No. 2, 832--845 (2016; Zbl 1446.34011) Full Text: DOI
Song, Fangying; Xu, Chuanju; Karniadakis, George Em A fractional phase-field model for two-phase flows with tunable sharpness: algorithms and simulations. (English) Zbl 1423.76102 Comput. Methods Appl. Mech. Eng. 305, 376-404 (2016). MSC: 76D05 76M22 76Txx PDFBibTeX XMLCite \textit{F. Song} et al., Comput. Methods Appl. Mech. Eng. 305, 376--404 (2016; Zbl 1423.76102) Full Text: DOI
Dolgov, Sergey; Pearson, John W.; Savostyanov, Dmitry V.; Stoll, Martin Fast tensor product solvers for optimization problems with fractional differential equations as constraints. (English) Zbl 1410.49018 Appl. Math. Comput. 273, 604-623 (2016). MSC: 49K20 35R11 49M25 PDFBibTeX XMLCite \textit{S. Dolgov} et al., Appl. Math. Comput. 273, 604--623 (2016; Zbl 1410.49018) Full Text: DOI Link
Lenzi, E. K.; Menechini Neto, R.; Tateishi, A. A.; Lenzi, M. K.; Ribeiro, H. V. Fractional diffusion equations coupled by reaction terms. (English) Zbl 1400.82134 Physica A 458, 9-16 (2016). MSC: 82C05 PDFBibTeX XMLCite \textit{E. K. Lenzi} et al., Physica A 458, 9--16 (2016; Zbl 1400.82134) Full Text: DOI
Bashiri, Tahereh; Vaezpour, Seiyed Mansour; Park, Choonkil Existence results for fractional hybrid differential systems in Banach algebras. (English) Zbl 1419.34077 Adv. Difference Equ. 2016, Paper No. 57, 13 p. (2016). MSC: 34A38 32A65 47H10 26A33 PDFBibTeX XMLCite \textit{T. Bashiri} et al., Adv. Difference Equ. 2016, Paper No. 57, 13 p. (2016; Zbl 1419.34077) Full Text: DOI
Hu, Lei Positive solutions to periodic boundary value problems of nonlinear fractional differential equations at resonance. (English) Zbl 1487.34079 Int. J. Differ. Equ. 2016, Article ID 9260726, 8 p. (2016). MSC: 34B18 34A08 34C25 PDFBibTeX XMLCite \textit{L. Hu}, Int. J. Differ. Equ. 2016, Article ID 9260726, 8 p. (2016; Zbl 1487.34079) Full Text: DOI
Nepomnyashchy, A. A. Mathematical modelling of subdiffusion-reaction systems. (English) Zbl 1390.35158 Math. Model. Nat. Phenom. 11, No. 1, 26-36 (2016). MSC: 35K57 35R11 60J60 82C70 PDFBibTeX XMLCite \textit{A. A. Nepomnyashchy}, Math. Model. Nat. Phenom. 11, No. 1, 26--36 (2016; Zbl 1390.35158) Full Text: DOI
Lv, Chunwan; Xu, Chuanju Error analysis of a high order method for time-fractional diffusion equations. (English) Zbl 1348.65123 SIAM J. Sci. Comput. 38, No. 5, A2699-A2724 (2016). MSC: 65M15 35K05 35R11 65M06 65M70 65M12 PDFBibTeX XMLCite \textit{C. Lv} and \textit{C. Xu}, SIAM J. Sci. Comput. 38, No. 5, A2699--A2724 (2016; Zbl 1348.65123) Full Text: DOI
Bashiri, Tahereh; Vaezpour, Seyed Mansour; Park, Choonkil A coupled fixed point theorem and application to fractional hybrid differential problems. (English) Zbl 1505.34009 Fixed Point Theory Appl. 2016, Paper No. 23, 11 p. (2016). MSC: 34A08 34A12 47H10 PDFBibTeX XMLCite \textit{T. Bashiri} et al., Fixed Point Theory Appl. 2016, Paper No. 23, 11 p. (2016; Zbl 1505.34009) Full Text: DOI
Balachandran, Krishnan; Divya, Shanmugam; Rodríguez-Germá, Luis; Trujillo, Juan J. Relative controllability of nonlinear neutral fractional integro-differential systems with distributed delays in control. (English) Zbl 1331.93018 Math. Methods Appl. Sci. 39, No. 2, 214-224 (2016). MSC: 93B05 34A08 PDFBibTeX XMLCite \textit{K. Balachandran} et al., Math. Methods Appl. Sci. 39, No. 2, 214--224 (2016; Zbl 1331.93018) Full Text: DOI
Wardowski, Dariusz Monotone iterative procedure and systems of a finite number of nonlinear fractional differential equations. (English) Zbl 1422.34066 Adv. Difference Equ. 2015, Paper No. 167, 16 p. (2015). MSC: 34A08 34B15 PDFBibTeX XMLCite \textit{D. Wardowski}, Adv. Difference Equ. 2015, Paper No. 167, 16 p. (2015; Zbl 1422.34066) Full Text: DOI
Jacobs, B. A. A new Grünwald-Letnikov derivative derived from a second-order scheme. (English) Zbl 1470.26011 Abstr. Appl. Anal. 2015, Article ID 952057, 9 p. (2015). MSC: 26A33 65D25 PDFBibTeX XMLCite \textit{B. A. Jacobs}, Abstr. Appl. Anal. 2015, Article ID 952057, 9 p. (2015; Zbl 1470.26011) Full Text: DOI
Datsko, Bohdan; Gafiychuk, Vasyl; Podlubny, Igor Solitary travelling auto-waves in fractional reaction-diffusion systems. (English) Zbl 1440.35341 Commun. Nonlinear Sci. Numer. Simul. 23, No. 1-3, 378-387 (2015). MSC: 35R11 35C07 35C08 92C20 PDFBibTeX XMLCite \textit{B. Datsko} et al., Commun. Nonlinear Sci. Numer. Simul. 23, No. 1--3, 378--387 (2015; Zbl 1440.35341) Full Text: DOI
Ji, Yude; Guo, Yanping; Qiu, Jiqing; Yang, Liyun Existence of positive solutions for a boundary value problem of nonlinear fractional differential equations. (English) Zbl 1350.34007 Adv. Difference Equ. 2015, Paper No. 13, 15 p. (2015). MSC: 34A08 34B18 34B27 47N20 PDFBibTeX XMLCite \textit{Y. Ji} et al., Adv. Difference Equ. 2015, Paper No. 13, 15 p. (2015; Zbl 1350.34007) Full Text: DOI
Majidabad, Sajjad Shoja; Shandiz, Heydar Toosian; Hajizadeh, Amin Nonlinear fractional-order power system stabilizer for multi-machine power systems based on sliding mode technique. (English) Zbl 1317.93067 Int. J. Robust Nonlinear Control 25, No. 10, 1548-1568 (2015). MSC: 93B12 93D21 PDFBibTeX XMLCite \textit{S. S. Majidabad} et al., Int. J. Robust Nonlinear Control 25, No. 10, 1548--1568 (2015; Zbl 1317.93067) Full Text: DOI
Hashem, H. H. G. On successive approximation method for coupled systems of Chandrasekhar quadratic integral equations. (English) Zbl 1315.65110 J. Egypt. Math. Soc. 23, No. 1, 108-112 (2015). MSC: 65R20 45G15 47H09 PDFBibTeX XMLCite \textit{H. H. G. Hashem}, J. Egypt. Math. Soc. 23, No. 1, 108--112 (2015; Zbl 1315.65110) Full Text: DOI
Liu, Jie; Gong, Chunye; Bao, Weimin; Tang, Guojian; Jiang, Yuewen Solving the Caputo fractional reaction-diffusion equation on GPU. (English) Zbl 1422.65164 Discrete Dyn. Nat. Soc. 2014, Article ID 820162, 7 p. (2014). MSC: 65M06 35R11 39B52 PDFBibTeX XMLCite \textit{J. Liu} et al., Discrete Dyn. Nat. Soc. 2014, Article ID 820162, 7 p. (2014; Zbl 1422.65164) Full Text: DOI
Gafiychuk, V. V.; Datsko, B. Yo.; Vasyunyk, Z. I. Small parameter method in nonlinear reaction-diffusion systems: conditions of application, construction of solutions, bifurcation analysis. (Ukrainian, English) Zbl 1349.35183 Mat. Metody Fiz.-Mekh. Polya 57, No. 2, 51-59 (2014); translation in J. Math. Sci., New York 215, No. 1, 59-70 (2016). Reviewer: Anatoly Martynyuk (Kyïv) MSC: 35K57 35B40 35B20 35B32 PDFBibTeX XMLCite \textit{V. V. Gafiychuk} et al., Mat. Metody Fiz.-Mekh. Polya 57, No. 2, 51--59 (2014; Zbl 1349.35183); translation in J. Math. Sci., New York 215, No. 1, 59--70 (2016) Full Text: DOI
Xu, Na; Liu, Wenbin Iterative solutions for a coupled system of fractional differential-integral equations with two-point boundary conditions. (English) Zbl 1335.34125 Appl. Math. Comput. 244, 903-911 (2014). MSC: 34K37 34A08 45J05 PDFBibTeX XMLCite \textit{N. Xu} and \textit{W. Liu}, Appl. Math. Comput. 244, 903--911 (2014; Zbl 1335.34125) Full Text: DOI
Majidabad, Sajjad Shoja; Shandiz, Heydar Toosian; Hajizadeh, Amin Decentralized sliding mode control of fractional-order large-scale nonlinear systems. (English) Zbl 1314.93057 Nonlinear Dyn. 77, No. 1-2, 119-134 (2014). MSC: 93B12 93A15 93D21 34A08 70Q05 PDFBibTeX XMLCite \textit{S. S. Majidabad} et al., Nonlinear Dyn. 77, No. 1--2, 119--134 (2014; Zbl 1314.93057) Full Text: DOI
Saxena, R. K.; Mathai, A. M.; Haubold, H. J. Distributed order reaction-diffusion systems associated with Caputo derivatives. (English) Zbl 1304.35751 J. Math. Phys. 55, No. 8, 083519, 15 p. (2014). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 35R11 35K57 26A33 PDFBibTeX XMLCite \textit{R. K. Saxena} et al., J. Math. Phys. 55, No. 8, 083519, 15 p. (2014; Zbl 1304.35751) Full Text: DOI arXiv
Dadras, Sara; Momeni, Hamid Reza Fractional-order dynamic output feedback sliding mode control design for robust stabilization of uncertain fractional-order nonlinear systems. (English) Zbl 1290.93034 Asian J. Control 16, No. 2, 489-497 (2014). MSC: 93B12 93B52 93D21 93C41 93C10 PDFBibTeX XMLCite \textit{S. Dadras} and \textit{H. R. Momeni}, Asian J. Control 16, No. 2, 489--497 (2014; Zbl 1290.93034) Full Text: DOI
Liu, Yuji; Ahmad, Bashir; Agarwal, Ravi P. Existence of solutions for a coupled system of nonlinear fractional differential equations with fractional boundary conditions on the half-line. (English) Zbl 1380.34015 Adv. Difference Equ. 2013, Paper No. 46, 19 p. (2013). MSC: 34A08 34B40 34A12 PDFBibTeX XMLCite \textit{Y. Liu} et al., Adv. Difference Equ. 2013, Paper No. 46, 19 p. (2013; Zbl 1380.34015) Full Text: DOI
Liang, Jitai; Liu, Zhenhai; Wang, Xuhuan Solvability for a couple system of nonlinear fractional differential equations in a Banach space. (English) Zbl 1312.34020 Fract. Calc. Appl. Anal. 16, No. 1, 51-63 (2013). MSC: 34A08 34B10 34B37 34K10 34L15 34L30 PDFBibTeX XMLCite \textit{J. Liang} et al., Fract. Calc. Appl. Anal. 16, No. 1, 51--63 (2013; Zbl 1312.34020) Full Text: DOI
Liu, Sanyang; Wang, Guotao; Zhang, Lihong Existence results for a coupled system of nonlinear neutral fractional differential equations. (English) Zbl 1308.34103 Appl. Math. Lett. 26, No. 12, 1120-1124 (2013). MSC: 34K37 PDFBibTeX XMLCite \textit{S. Liu} et al., Appl. Math. Lett. 26, No. 12, 1120--1124 (2013; Zbl 1308.34103) Full Text: DOI
Liu, Yuji Existence and uniqueness of solutions for a class of initial value problems of fractional differential systems on half lines. (English) Zbl 1286.34012 Bull. Sci. Math. 137, No. 8, 1048-1071 (2013). Reviewer: Christopher Goodrich (Omaha) MSC: 34A08 34A12 47H10 PDFBibTeX XMLCite \textit{Y. Liu}, Bull. Sci. Math. 137, No. 8, 1048--1071 (2013; Zbl 1286.34012) Full Text: DOI
El-Sayed, A. M. A.; Hashem, H. H. G. Existence results for coupled systems of quadratic integral equations of fractional orders. (English) Zbl 1272.93068 Optim. Lett. 7, No. 6, 1251-1260 (2013). MSC: 93C30 47H10 PDFBibTeX XMLCite \textit{A. M. A. El-Sayed} and \textit{H. H. G. Hashem}, Optim. Lett. 7, No. 6, 1251--1260 (2013; Zbl 1272.93068) Full Text: DOI
Tavakoli-Kakhki, Mahsan; Tavazoei, Mohammad Saleh Static feedback versus fractionality of the electrical elements in the van der Pol circuit. (English) Zbl 1268.34030 Nonlinear Dyn. 72, No. 1-2, 365-375 (2013). MSC: 34A08 93B52 PDFBibTeX XMLCite \textit{M. Tavakoli-Kakhki} and \textit{M. S. Tavazoei}, Nonlinear Dyn. 72, No. 1--2, 365--375 (2013; Zbl 1268.34030) Full Text: DOI
Ahmad, Bashir On nonlocal boundary value problems for nonlinear integro-differential equations of arbitrary fractional order. (English) Zbl 1270.45004 Result. Math. 63, No. 1-2, 183-194 (2013). Reviewer: Ahmed M. A. El-Sayed (Alexandria) MSC: 45J05 26A33 45G10 PDFBibTeX XMLCite \textit{B. Ahmad}, Result. Math. 63, No. 1--2, 183--194 (2013; Zbl 1270.45004) Full Text: DOI
Benchohra, Mouffak; Henderson, Johnny; Seba, Djamila Boundary value problems for fractional differential inclusions in Banach spaces. (English) Zbl 1415.34103 Fract. Differ. Calc. 2, No. 1, 99-108 (2012). MSC: 34G25 34A08 34B18 PDFBibTeX XMLCite \textit{M. Benchohra} et al., Fract. Differ. Calc. 2, No. 1, 99--108 (2012; Zbl 1415.34103) Full Text: DOI
Ahmad, Bashir; Nieto, Juan J. A study of impulsive fractional differential inclusions with anti-periodic boundary conditions. (English) Zbl 1412.34073 Fract. Differ. Calc. 2, No. 1, 1-15 (2012). MSC: 34A60 34B15 34B37 PDFBibTeX XMLCite \textit{B. Ahmad} and \textit{J. J. Nieto}, Fract. Differ. Calc. 2, No. 1, 1--15 (2012; Zbl 1412.34073) Full Text: DOI
Zhang, Lihong; Wang, Guotao; Song, Guangxing On mixed boundary value problem of impulsive semilinear evolution equations of fractional order. (English) Zbl 1275.26018 Bound. Value Probl. 2012, Paper No. 17, 8 p. (2012). MSC: 26A33 34K30 34K45 PDFBibTeX XMLCite \textit{L. Zhang} et al., Bound. Value Probl. 2012, Paper No. 17, 8 p. (2012; Zbl 1275.26018) Full Text: DOI
Balachandran, K.; Kiruthika, S. Existence of solutions of abstract fractional integrodifferential equations of Sobolev type. (English) Zbl 1268.34151 Comput. Math. Appl. 64, No. 10, 3406-3413 (2012). MSC: 34K37 34A08 34K30 35R11 PDFBibTeX XMLCite \textit{K. Balachandran} and \textit{S. Kiruthika}, Comput. Math. Appl. 64, No. 10, 3406--3413 (2012; Zbl 1268.34151) Full Text: DOI
Kochubei, Anatoly N. Fractional-parabolic systems. (English) Zbl 1259.35218 Potential Anal. 37, No. 1, 1-30 (2012). Reviewer: J. Vasundhara Devi (Visakhapatnam) MSC: 35R11 35K99 PDFBibTeX XMLCite \textit{A. N. Kochubei}, Potential Anal. 37, No. 1, 1--30 (2012; Zbl 1259.35218) Full Text: DOI arXiv
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
Aghababa, Mohammad Pourmahmood Robust stabilization and synchronization of a class of fractional-order chaotic systems via a novel fractional sliding mode controller. (English) Zbl 1248.93146 Commun. Nonlinear Sci. Numer. Simul. 17, No. 6, 2670-2681 (2012). MSC: 93D21 93C15 34D06 37N35 93B12 PDFBibTeX XMLCite \textit{M. P. Aghababa}, Commun. Nonlinear Sci. Numer. Simul. 17, No. 6, 2670--2681 (2012; Zbl 1248.93146) Full Text: DOI