Results 21 to 30 of about 35,805 (203)
Fractal and FractionalThis paper investigates a coupled system of nonlinear implicit fractional differential equations of order α∈(1,2] subject to anti-periodic boundary conditions.
Areen Al-Khateeb +3 more
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Analysis of Coupled System of Implicit Fractional Differential Equations Involving Katugampola–Caputo Fractional Derivative [PDF]
Complexity, 2020 In this paper, we study the existence and uniqueness of solutions to implicit the coupled fractional differential system with the Katugampola–Caputo fractional derivative. Different fixed-point theorems are used to acquire the required results. Moreover, we derive some sufficient conditions to guarantee that the solutions to our considered system are ...
Manzoor Ahmad +4 more
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International Journal of Differential Equations, 2023 This article examines the necessary conditions for the unique existence of solutions to nonlinear implicit ϑ-Caputo fractional differential equations accompanied by fractional order integral boundary conditions.
Issam Kaddoura, Yahia Awad
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Malaysian Journal of Fundamental and Applied SciencesThis paper presents the development of two-point diagonally implicit fractional block backward differentiation formula of order two with constant step size (2DIFBBDF(2)) for solving the fractional differential equations (FDEs). The method is derived based on the concept of fractional linear multistep method and the classical diagonally block backward ...
Yip Lian Yiung, Siti Ainor Mohd Yatim
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Numerical Solution of Fractional Differential Equations: A Survey and a Software Tutorial
Mathematics, 2018 Solving differential equations of fractional (i.e., non-integer) order in an accurate, reliable and efficient way is much more difficult than in the standard integer-order case; moreover, the majority of the computational tools do not provide built-in ...
Roberto Garrappa
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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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Kragujevac Journal of MathematicsThe purpose of this paper is to investigate the existence and uniqueness of solutions for nonlinear fractional implicit integro-differential equations of Hadamard-Caputo type with fractional boundary conditions. The reasoning is inspired by diverse classical fixed point theory, such as the Schauder and Banach fixed point theorems.
AHMED A. HAMOUD +5 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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