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International Journal of Computer Mathematics Volume 98, 2021 - Issue 1
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Original Articles

Existence of extremal solutions of fractional Langevin equation involving nonlinear boundary conditions

Hossein FazliState Key Laboratory of Hydrology-Water Resources and Hydraulic Engineering, College of Mechanics and Materials, Hohai University, Nanjing, Jiangsu, ChinaView further author information
,
HongGuang SunState Key Laboratory of Hydrology-Water Resources and Hydraulic Engineering, College of Mechanics and Materials, Hohai University, Nanjing, Jiangsu, ChinaCorrespondence[email protected]
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&
Sima AghchiState Key Laboratory of Hydrology-Water Resources and Hydraulic Engineering, College of Mechanics and Materials, Hohai University, Nanjing, Jiangsu, ChinaView further author information
Pages 1-10 | Received 20 Nov 2019, Accepted 16 Jan 2020, Published online: 05 Feb 2020

Citations (16)

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Read on this site (3)

Zidane Baitiche, Choukri Derbazi & Mohammed M. Matar. (2022) Ulam stability for nonlinear-Langevin fractional differential equations involving two fractional orders in the ψ-Caputo sense. Applicable Analysis 101:14, pages 4866-4881.
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Nguyen Minh Dien & Tran Quoc Viet. (2022) On mild solutions of the p-Laplacian fractional Langevin equations with anti-periodic type boundary conditions. International Journal of Computer Mathematics 99:9, pages 1823-1848.
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J. Alba-Pérez & J. E. Macías-Díaz. (2021) A positive and bounded convergent scheme for general space-fractional diffusion-reaction systems with inertial times. International Journal of Computer Mathematics 98:6, pages 1071-1097.
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Articles from other publishers (13)

Bui Thi Ngoc Han & Nguyen Thi Linh. (2022) THE GENERALIZED NONLOCAL BOUNDARY CONDITION FOR FRACTIONAL LANGEVIN EQUATION WITH A WEAKLY SINGULAR SOURCE. Rocky Mountain Journal of Mathematics 52:6.
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Ahmed Salem & Rawia Babusail. (2022) Finite-Time Stability in Nonhomogeneous Delay Differential Equations of Fractional Hilfer Type. Mathematics 10:9, pages 1520.
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Xiaoxin Zuo & Weibing Wang. (2022) Existence of solutions for fractional differential equation with periodic boundary condition. AIMS Mathematics 7:4, pages 6619-6633.
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Hamdy AhmedM.M. & Ahmed GhanemS.S.. (2022) Existence and uniqueness results for a nonlinear coupled system of nonlinear fractional Langevin equations with a new kind of boundary conditions. Filomat 36:16, pages 5437-5447.
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Abdelatif Boutiara, Maamar Benbachir, Jehad Alzabut & Mohammad Esmael Samei. (2021) Monotone Iterative and Upper–Lower Solution Techniques for Solving the Nonlinear ψ−Caputo Fractional Boundary Value Problem. Fractal and Fractional 5:4, pages 194.
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Nguyen Minh Dien. (2021) Existence and continuity results for a nonlinear fractional Langevin equation with a weakly singular source. Journal of Integral Equations and Applications 33:3.
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NGUYEN MINH DIEN & DANG DUC TRONG. (2021) ON THE NONLINEAR GENERALIZED LANGEVIN EQUATION INVOLVING ψ-CAPUTO FRACTIONAL DERIVATIVES. Fractals 29:06, pages 2150128.
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Hossein Fazli, HongGuang Sun & Juan J. Nieto. (2021) New existence and stability results for fractional Langevin equation with three-point boundary conditions. Computational and Applied Mathematics 40:2.
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Abdulkafi M. Saeed, Mohammed A. Almalahi & Mohammed S. Abdo. (2021) Explicit iteration and unique solution for $ \phi $-Hilfer type fractional Langevin equations. AIMS Mathematics 7:3, pages 3456-3476.
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Amin Jajarmi & Dumitru Baleanu. (2020) A New Iterative Method for the Numerical Solution of High-Order Non-linear Fractional Boundary Value Problems. Frontiers in Physics 8.
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Choukri Derbazi, Zidane Baitiche, Mouffak Benchohra & Alberto Cabada. (2020) Initial Value Problem For Nonlinear Fractional Differential Equations With ψ-Caputo Derivative Via Monotone Iterative Technique. Axioms 9:2, pages 57.
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Hossein Fazli, HongGuang Sun & Juan J. Nieto. (2020) Fractional Langevin Equation Involving Two Fractional Orders: Existence and Uniqueness Revisited. Mathematics 8:5, pages 743.
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Farzaneh Safari & HongGuang Sun. (2020) Improved singular boundary method and dual reciprocity method for fractional derivative Rayleigh–Stokes problem. Engineering with Computers.
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