This paper presents a new class of boundary value problems integrodifferential fractional equations different order equipped with coupled anti-periodic and nonlocal integral conditions. We prove the existence uniqueness criteria solutions by using Leray-Schauder alternative Banach contraction mapping principle. Examples are constructed for illustration our results.

In this paper, we introduce a high dimensional system of singular fractional differential equations. Using Schauder fixed point theorem, prove an existence result. We also investigate the uniqueness solution using Banach contraction principle. Moreover, study Ulam-Hyers stability and generalized-Ulam-Hyers solutions. Some illustrative examples are presented.

The current work concerns the existence and uniqueness results for a nonlinear Langevin equation involving two generalized proportional fractional operators with respect to another function. main are proved by means of Krasnoselskii?s fixed point theorem Banach contraction principle. An example is set forth make efficient our results.

Since the celebrated Brouwer’s fixed point theorem and Banach contraction principle were established, rapid growth of theory its applications have led to a number scholarly essays studying importance promotion application in nonlinear analysis, applied mathematical economics, game theory, integral differential equations inclusions, dynamic systems signal image processing, etc [...]

The Banach contraction principle appeared in explicit form in Banach’s thesis [5] in 1922 where it was used to establish the existence of a solution for an integral equation. Since then, it has become a very popular tool in solving existence problems in many branches of mathematics. Extensions of this principle were obtained either by generalizing the domain of mappings or by extending the cont...

The major goal of this manuscript is to investigate the existence, uniqueness, and stability a q-fractional Langevin differential equation with integral conditions. We demonstrate existence uniqueness solution proposed using Banach contraction principle Schaefer’s fixed-point theorem. also elaborate on different kinds Ulam stability. theoretical outcomes are verified by examples.

This paper is devoted to investigating one type of nonlinear two-term fractional order delayed differential equations involving Caputo derivatives. The Leray–Schauder alternative fixed-point theorem and Banach contraction principle are applied analyze the existence uniqueness solutions problem with infinite delay. Additionally, Hyers–Ulam stability considered for delay conditions.

Abstract In this paper, we introduce a new coupled system of sequential fractional differential equations with boundary conditions. We establish existence and uniqueness results using the Leray–Schauder alternative Banach contraction principle. examine stability solutions involved in Hyers–Ulam type. As an application, present few examples to illustrate main results.

In this article, we introduce a new concept of admissible contraction and prove fixed point theorems which generalize Banach principle in different way more than the known results from literature. The article includes an example shows validity our results, additionally obtain solution integral equation by mapping setting b-metric spaces.

The monotone iterative technique is applied to a class of nonlinear first order integro-differential equations in Banach spaces. First a linear system with a “small” nonlinear perturbation is solved using Banach’s Contraction Principle and the technique of Green’s function. Then based upon a comparison result, the existence of minimal and maximal solutions is proved.