The study of fractional differential equations occupies an important place in various fields of science. In this paper, we investigate the existence result for a nonlocal integral boundary value problems for a sequential differential equation involving a fractional mixed derivatives. Our method consists to define an extended space on which we can apply the Mönch fixed point theorem via the noncompactness measure. In addition, the compactness of the solution set is studied using the sequential method. Finally, an example is given to illustrate the results obtained.

Our research is about the analysis of a new type of triple system of hybrid differential equations of fractional order with nonlo cal integro multi point boundary conditions, whose results can certainly be useful in solving practical problems. We focus on a mathematical operator called the p-Laplacian and another type of derivative called the phi-Caputo derivative. The displayed comes about are gotten by the hybrid Dhage fixed point theorem for a entirety of three operators. A few illustrative illustrations is displayed at the conclusion to appear the pertinence of the gotten comes about. To the leading of our information, this is often the primary time where such issue is considered.

Our aim in this paper is to investigate the existence and uniqueness of solution for a class of fractional differential equations involving a left chi-Hilfer derivative with boundary conditions. Our method consists to use a variety of functional tools and Krasnoselski's fixed point theorem. Finally, in order to illustrate the results obtained, we provide an example.

In this article, we aim to study the existence of chi-continuously differentiable solutions for an integral boundary value problem to sequential differential system involving a mixed derivative in Banach space. We apply the Monch fixed point theorem combined with the Kuratowski measure of noncompactness to obtain this result. We also obtain the compactness of the solution set for the given problem, an example is given to illustrate the results obtained.

In this paper, we study the existence of solutions for terminal value problem for impulsive differential equation via circle minus- Riemann-Liouville fractional derivative in a appropriate Banach space. Our approach is based on M & ouml;nch fixed point theorem via Kuratowski measure of non-compactness, an example is given to illustrate our approach.

In this paper, we study the existence of solutions for a tripled system of Fractional hybrid differential equations with nonlocal integro multi point boundary conditions by using the Laplacian operator of degree p and the Caputo derivatives, we know that the differential equations with the Laplacian operator appeared for the first time when Leibenson was attempting to derive an accurate formula to model turbulent flow in the porous medium, in this work we study the case of the Fractional hybrid differential equations who are the quadratic perturbations of nonlinear differential equations. Dhage and Lakshmikantham [12] discussed the hybrid differential equation They established the existence, uniqueness results, and some fundamental differential inequalities for hybrid differential equations initiating the study of the theory of such systems and proved to utilize the theory of inequalities, its existence of extremal solutions, and comparison results. Hilal and Kajouni [19] have studied boundary fractional hybrid differential equations involving Caputo differential operators, so In this article, we are interested in the existence result of the solution of hybrid nonlinear differential equations. obtained by the hybrid fixed point theorem for a sum of three operators due to Dhage. An illustrative example is presented at the end to show the applicability of the results. To the best of our knowledge, this is the first time where such problem is considered.

In this article, we establish certain sufficient conditions to show the existence of solutions of boundary value problem for fractional differential equations on the half-line in a Fréchet space. The main result is based on Tykhonoff fixed point theorem combining with a suitable measure of non-compactness. An example is given to illustrate our approach.

This paper deals with a general class of nonlinear fractional differential equations with p-Laplacian operator that involves some sequential Caputo derivatives. New criteria on the existence and uniqueness of solutions are established. The stability analysis in the sense of Ulam Hyers is discussed. An illustrative example is presented.

In this paper, we establish sufficient conditions to show the compactness of solution set of boundary value problems for impulsive integro-differential equation using ?-Hilfer fractional operator in a appropriate Banach space. The method we use to show our result is based on fixed point theorems for Meir-Keeler condensing operators via measure of non-compactness, an example is presented to illustrate our method.

In this paper, we study the existence and stability of solutions for impulsive pantograph fractional integro-differential equation via ?-Hilfer fractional derivative in a appropriate Banach space. Our approach is based on fixed point theorems of Darbo's and Monch via Kuratowski measure of non-compactness. An example is given to illustrate our approach.

In this paper, we study the existence and uniqueness of solutions for a multiple system of fractional differential equations with nonlocal integro multi point boundary conditions by using the p-Laplacian operator and the ?-Caputo derivatives. The presented results are obtained by the two fixed point theorems of Banach and Krasnoselskii. An illustrative example is presented at the end to show the applicability of the obtained results. To the best of our knowledge, this is the first time where such problem is considered.

This paper deals with the the existence of solution sets and its topological structure for a fractional differential equation with ψ -Riemann-Liouville fractional derivative on (0,∞) in a special Banach space. Our approach is based on a fixed point theorem for Meir-Keeler condensing operators combined with measure of non-compactness. An example is given to illustrate our approach.

In this article, we establish certain sufficient conditions to show the existence of solutions of an initial value problem of fractional-ordinary differential equation in Banach space. Our approach is based on a combination of Mönch fixed point theorem and a suitable measure of non-compactness. Also an example is given to illustrate our approach.

In this paper, we study the existence of solutions for a new problem of hybrid differential equations with nonlocal integro multi point boundary conditions by using the proportional fractional derivative. The presented results are obtained by using hybrid fixed point theorems for three Dhage operators. The application of theoretical conclusions is demonstrated through an example.

In this article, we study the existenceof solutions and the stability in the sense of Ulam for new nonlinear differential problem via Hilfer fractional derivative. Our approach is based on Krasnoselskii’s fixed point theorem. An example is given to illustrate our results.

Our aim in this paper is to study the existence of solution sets and its topological structure for non-local fractional differential equations on the half-line in a Banach space using Riemann-Liouville definition. The main result is based on Meir-Keeler fixed point theorem for condensing operators combined with measure of non-compactness. An example is given to illustrate the feasibility of our main result.

In this article, we establish certain sufficient conditions to show the existence of solutions of a fractional differential equation with the ?-Riemann-Liouville and ?-Caputo fractional derivative in a special Banach space. Our approach is based on fixed point theorems for Meir-Keeler condensing operators via measure of non-compactness. Also an example is given to illustrate our approach.

This paper aims to an initial value problem for an impulsive fractional differential inclusion with the Riemann-Liouville fractional derivative. We apply Covitz and Nadler theorem concerning the study of the fixed point for multivalued maps to obtain the existence results for the given problems. We also obtain some topological properties about the solution set.

In this paper, we study the existence of solutions for a multiplied system of fractional differential equations with nonlocal integro multi-point boundary conditions by using the p-Laplacian operator and the φ-Hilfer derivatives. The presented results are obtained by the fixed point theorems of Krasnoselskii. An illustrative example is presented at the end to show the applicability of the obtained results. To the best of our knowledge, this is the first time where such a problem is considered.

In this paper, we study the existence of solutions for a new tripled system of hybrid differential equations with nonlocal integro multi point boundary conditions by using the φ-Caputo derivatives. The presented results are obtained by using hybrid fixed point theorems for three Dhage operators. An illustrative example is presented for the applicability of the theoretical results.