Results 11 to 20 of about 1,541 (214)
Известия Иркутского государственного университета: Серия "Математика", 2023 This paper introduces a new numerical technique based on the implicit spectral collocation method and the fractional Chelyshkov basis functions for solving the fractional Fredholm integro-differential equations. The framework of the proposed method is to
Y. Talaei +2 more
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Stability of Nonlinear Implicit Differential Equations with Caputo–Katugampola Fractional Derivative
Mathematics, 2023 The purpose of this paper is to study nonlinear implicit differential equations with the Caputo–Katugampola fractional derivative. By using Gronwall inequality and Banach fixed-point theorem, the existence of the solution of the implicit equation is ...
Qun Dai, Yunying Zhang
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On a nonlocal implicit problem under Atangana–Baleanu–Caputo fractional derivative
Boundary Value Problems, 2021 In this paper, we study a class of initial value problems for a nonlinear implicit fractional differential equation with nonlocal conditions involving the Atangana–Baleanu–Caputo fractional derivative.
Abeer S. Alnahdi +4 more
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Fractional Order Runge–Kutta Methods
Fractal and Fractional, 2023 This paper presents a new class of fractional order Runge–Kutta (FORK) methods for numerically approximating the solution of fractional differential equations (FDEs).
Farideh Ghoreishi +2 more
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Advances in Difference Equations, 2017 In this paper, we investigate four different types of Ulam stability, i.e., Ulam-Hyers stability, generalized Ulam-Hyers stability, Ulam-Hyers-Rassias stability and generalized Ulam-Hyers-Rassias stability for a class of nonlinear implicit fractional ...
Akbar Zada, Sartaj Ali, Yongjin Li
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Terminal Value Problem for Implicit Katugampola Fractional Differential Equations in b-Metric Spaces
Journal of Function Spaces, 2021 This manuscript deals with a class of Katugampola implicit fractional differential equations in b-metric spaces. The results are based on the α−φ-Geraghty type contraction and the fixed point theory. We express an illustrative example.
Salim Krim +3 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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Electronic Journal of Qualitative Theory of Differential Equations, 2020 This paper deals with existence and uniqueness of solutions to a class of impulsive boundary value problem for nonlinear implicit fractional differential equations involving the Caputo-exponential fractional derivative. The existence results are based on
Ahmed Malti +3 more
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Fractal and Fractional, 2020 This manuscript is devoted to proving some results concerning the existence of solutions to a class of boundary value problems for nonlinear implicit fractional differential equations with non-instantaneous impulses and generalized Hilfer fractional ...
Abdelkrim Salim +3 more
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Fixed Point Theory and Algorithms for Sciences and Engineering, 2022 In this paper, we establish the existence and uniqueness of a solution for a class of initial value problems for implicit fractional differential equations with Caputo fractional derivative.
Jamal Eddine Lazreg +3 more
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