Results 31 to 40 of about 1,446 (157)
Advances in Difference Equations, 2021 In this paper, we consider two classes of boundary value problems for nonlinear implicit differential equations with nonlinear integral conditions involving Atangana–Baleanu–Caputo fractional derivatives of orders 0 < ϑ ≤ 1 ...
Mohammed S. Abdo +3 more
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Qualitative Study on Solutions of Piecewise Nonlocal Implicit Fractional Differential Equations
Journal of Function Spaces, 2023 In this paper, we investigate new types of nonlocal implicit problems involving piecewise Caputo fractional operators. The existence and uniqueness results are proved by using some fixed point theorems. Furthermore, we present analogous results involving piecewise Caputo-Fabrizio and Atangana–Baleanu fractional operators.
Mohammed S. Abdo +5 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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Fractional SDEs with stochastic forcing: Existence, uniqueness, and approximation
Nonlinear Analysis, 2023 In this article, we are interested in fractional stochastic differential equations (FSDEs) with stochastic forcing, i.e., to FSDE we add a stochastic forcing term.
Kęstutis Kubilius
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Moroccan Journal of Pure and Applied Analysis, 2015 In this paper, we establish sufficient conditions for the existence and stability of solutions for a class of boundary value problem for implicit fractional differential equations with Caputo fractional derivative. The arguments are based upon the Banach
Benchohra Mouffak, Bouriah Soufyane
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Fractal and Fractional, 2023 This paper applies two different types of Riemann–Liouville derivatives to solve fractional differential equations of second order. Basically, the properties of the Riemann–Liouville fractional derivative depend mainly on the lower bound of the integral ...
Abdulrahman B. Albidah
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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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Demonstratio MathematicaThis study investigates the existence of solutions for implicit fractional differential equations with fractional-order integral boundary conditions. We create the required conditions to ensure unique solution and Ulam-Hyers-Rassias stability.
El-Sayed Ahmed Mohamad +2 more
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Stability for impulsive implicit Hadamard fractional differential equations
Malaya Journal of Matematik, 2018 In this paper, we analyze the uniqueness and stability for implicit fractional differential equations with impulsive conditions involving the hadamard derivative of fractional order $\alpha$. An illustrative example is also presented.
null P. Karthikeyan, null R.Arul
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L1-Solutions of Boundary Value Problems for Implicit Fractional Order Differential Equations [PDF]
Surveys in Mathematics and its Applications, 2015 The aim of this paper is to present new results on the existence of solutions for a class of boundary value problem for fractional order implicit differential equations involving the Caputo fractional derivative. Our results are based on Schauder's fixed
Mouffak Benchohra, Mohammed Said Souid
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