Solution of infinite system of ordinary differential equations and fractional hybrid differential equations via measure of noncompactness

Abstract

In this work, we use the notion of convex power condensing mapping under measure of noncompactness in locally convex spaces and establish some new coupled fixed point results. The results proved herein are the generalization and extension of some widely known results in the existing literature. Furthermore, we apply our results for the existence of solution to infinite system of ordinary differential equations and system of fractional hybrid differential equations.

Analytical Solution for Differential and Nonlinear Integral Equations via F ϖ

“…There are developments to translate fixed point theorems into nonlinear integral equations and differential equations (for related works and developments, see [7][8][9][10][11][12][13][14][15][16][17][18][19][20]).…”

Existence and uniqueness results for a fractional differential equations with nonlocal boundary conditions

“…The existence and uniqueness of boundary value problem for fractional differential equations have attracted attention of many authors, see ( [1]- [9]). For some recent development on the topic, see [10,11,12,13], and the references therein. In papers [14,15], the authors consider the stability of fractional differential equations.…”