Results 1 to 10 of about 1,446 (157)
Implicit Fractional Differential Equations via the Liouville–Caputo Derivative [PDF]
Mathematics, 2015 We study an initial value problem for an implicit fractional differential equation with the Liouville–Caputo fractional derivative. By using fixed point theory and an approximation method, we obtain some existence and uniqueness results.
Juan J. Nieto +2 more
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Implicit nonlinear fractional differential equations of variable order [PDF]
Boundary Value Problems, 2021 In this manuscript, we examine both the existence and the stability of solutions to the implicit boundary value problem of Caputo fractional differential equations of variable order.
Amar Benkerrouche +3 more
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Stability analysis for a class of implicit fractional differential equations involving Atangana-Baleanu fractional derivative. [PDF]
Adv Differ Equ, 2021 AbstractSome fundamental conditions and hypotheses are established to ensure the existence, uniqueness, and stability to a class of implicit boundary value problems (BVPs) with Atangana–Baleanu–Caputo type derivative and integral. The required results are established by utilizing the Banach contraction mapping principle and fixed point theorem of ...
Asma, Shabbir S, Shah K, Abdeljawad T.
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On stability for nonlinear implicit fractional differential equations
Le Matematiche, 2015 The purpose of this paper is to establish some types of Ulam stability: Ulam-Hyers stability, generalized Ulam-Hyers stability, Ulam-Hyers-Rassias stability and generalized Ulam-Hyers-Rassias stability for a class of implicit fractional-order ...
Mouffak Benchohra, Jamal E. Lazreg
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Topological Algebra and its Applications, 2022 In this paper, we establish the existence of solutions for a class of nonlinear implicit neutral fractional differential equations with terminal condition and Hilfer-Katugampola fractional derivative.
Bouriah Soufyane +2 more
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Existence results for nonlinear implicit fractional differential equations [PDF]
Surveys in Mathematics and its Applications, 2014 In this paper, we establish the existence and uniqueness of solution for a class of initial value problem for implicit fractional differential equations with Caputo fractional derivative.
Mouffak Benchohra , Jamal Eddine Lazreg
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Nonlinear implicit differential equations of fractional order at resonance
Electronic Journal of Differential Equations, 2016 In this article, we obtain an existence result for periodic solutions to nonlinear implicit fractional differential equations with Caputo fractional derivatives. Our main tools is coincidence degree theory, which was first introduced by Mawhin.
Mouffak Benchohra +2 more
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Mittag-Leffler Euler ∇-differences for Caputo fractional-order systems
Results in Physics, 2022 Exponential Euler differences have got rapid development recently for integer-order differential equations. But there are few papers focusing on this difference to fractional differential equations.
Tianwei Zhang, Yongkun Li, Jianwen Zhou
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Axioms, 2022 We study a class of nonlinear implicit fractional differential equations subject to nonlocal boundary conditions expressed in terms of nonlinear integro-differential equations.
Djalal Boucenna +2 more
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On Implicit Time–Fractal–Fractional Differential Equation
Axioms, 2022 An implicit time–fractal–fractional differential equation involving the Atangana’s fractal–fractional derivative in the sense of Caputo with the Mittag–Leffler law type kernel is studied. Using the Banach fixed point theorem, the well-posedness of the solution is proved. We show that the solution exhibits an exponential growth bound, and, consequently,
McSylvester Ejighikeme Omaba +2 more
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