This work studies the existence and p-th moment asymptotic stability of mild solution some neutral fractional stochastic integro-differential equations involving non-instantaneous impulses Poisson jumps. Sufficient conditions proving solutions are obtained utilizing analysis, resolvent operator Krasnoselskii-Schaefer type fixed point theorem.

Based on the theory of fractional calculus, the contraction mapping principle, Krasnoselskii fixed point theorem and the inequality technique, a class of Caputo fractional-order BAM neural networks with delays in the leakage terms is investigated in this paper. Some new sufficient conditions are established to guarantee the existence and uniqueness of the nontrivial solution. Moreover, uniform ...

In this study, we consider integral boundary value problems of nonlinear fractional differential equations with finite delay. Existence results positive solutions for the are obtained on basis Guo-Krasnoselskii theorem and Leggett-Williams fixed point theorem. Comprehensive examples follow main in respective sections.

In this paper, we investigate the existence and Ulam-Hyers-Rassias stability of solutions for stochastic differential equations with random impulses. Based on Krasnoselskii?s fixed point theorem, perform investigations to system We apply integral inequality Gronwall type study their stability.

This article deals with a nonlinear implicit fractional differential equation nonlocal integral-multipoint boundary conditions in the frame of Hilfer derivative. The existence and uniqueness results are obtained by using fixed point theorems Krasnoselskii Banach. Further, to demonstrate effectiveness main results, suitable examples granted.

In this article, we consider a nonlinear neutral q-fractional difference equation. So, apply the fixed point theorem of Krasnoselskii to obtain existence solutions under sufficient conditions. After that, use Banach show uniqueness, as well stability solutions. Our main results extend and generalize previous mentioned in conclusion.

This paper studies the existence of solutions for a coupled system of nonlinear fractional differential equations. New existence and uniqueness results are established using Banach fixed point theorem. Other existence results are obtained using Schaefer and Krasnoselskii fixed point theorems. Some illustrative examples are also presented.

this paper studies a fractional boundary value problem of nonlineardifferential equations of arbitrary orders. new existence and uniquenessresults are established using banach contraction principle. other existenceresults are obtained using schaefer and krasnoselskii fixed point theorems.in order to clarify our results, some illustrative examples are alsopresented.