Results 21 to 30 of about 1,548 (255)
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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Implicit Fractional Differential Equation Involving $\psi$–Caputo with Boundary Conditions [PDF]
Bulletin of the Institute of Mathematics Academia Sinica NEW SERIES, 2021 This paper deals with the existence and uniqueness of solutions for boundary-value problems of the nonlinear \(\psi\)-Caputo fractional differential equations \[ \begin{aligned} ^CD^{\alpha, \psi}_{a^+}u(t) &= f(t, u(t),^CD^{\alpha, \psi}_{a^+}u(t)), \quad t\in [a, T],\\ u(T) &= \lambda u(\eta).
Abdellatif, Boutiara, Benbachir, Maamar
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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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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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Implicit analytic solutions for a nonlinear fractional partial differential beam equation [PDF]
Communications in Nonlinear Science and Numerical Simulation, 2020 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Konstantinos Liaskos +4 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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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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