The key objective of the current manuscript was to investigate the exact solutions of the
fractional perturbed Radhakrishnan–Kundu–Lakshmanan model. For this purpose, we …

In this paper, we study the existence and uniqueness of Hadamard Itô-Doob Stochastic
Fractional Order Systems (HIDSFOS) using the Picard iteration method. Different from the …

This paper addresses the existence of stability results for Ulam–Hyers (UHS) and Ulam–
Hyers–Rassias (UHRS) in the setting of Caputo–Hadamard fractional functional stochastic …

We present the existence of solutions for sequential Caputo–Hadamard fractional differential
equations (SC-HFDE) with fractional boundary conditions (FBCs). Known fixed-point …

In this paper, we investigate the existence and uniqueness of fractional differential equations
(FDEs) by using the fixed-point theory (FPT). We discuss also the Ulam–Hyers–Rassias …

We establish sufficient conditions for the existence of solutions of an integral boundary value
problem for a Ψ-Hilfer fractional integro-differential equations with non-instantaneous …

We propose a solution to the symmetric nonlinear Ψ-Caputo fractional integro differential
equations involving non-instantaneous impulsive boundary conditions. We investigate the …

In this paper, we study coupled nonlinear Langevin fractional problems with different orders
of μ-Caputo fractional derivatives on arbitrary domains with nonlocal integral boundary …

In this article, we discuss the existence and uniqueness of proportional Itô–Doob stochastic
fractional order systems (PIDSFOS) by using the Picard iteration method. The paper …

Modeling is an effective way of using mathematical concepts and tools to represent natural
systems and phenomena. Fractional calculus is an essential part of modeling a biological …