Related Articles ( Fixed point theorem )
Local existence and uniqueness for a fractional SIRS model with Mittag–Leffler law
In this paper, we study an epidemic model with Atangana-Baleanu-Caputo fractional derivative. We obtain a special solution using an iterative scheme via Laplace transformation. Uniqueness and existence of a solution using the Banach fixed point theorem are studied. A detailed analysis of the stability ...
Existence and Ulam stability of solutions for Caputo-Hadamard fractional differential equations
In this paper, we study the existence of solutions for fractional differential equations with the Caputo-Hadamard fractional derivative of order 2 (1, 2]. The uniqueness result is proved via Banach’s contraction mapping principle and the existence results are established by using the Schauder’s ...
Stability for Pantograph Fractional Differential Equations
In this manuscript, we studied some sufficient condition for the asymptotically stable of the zero solution of pantograph Caputo fractional differential equations of order (1 < < 2). In a weighted Banach space, we used Krasnoselskii’s fixed point theorem to derive new reIn this manuscript, ...
Approximate controllability of general impulsive stochastic systems with effects in infinite dimension
In this research, we investigated the feasibility of approximate control for nonlinear impulsive stochastic differential systems defined over infinite-dimensional domains. Our approach is based on the assumption that the associated linear systems are controllable. To this end, we established sufficient ...