Existence theory for a system of coupled multi‐term fractional differential equations with integral multi‐strip coupled boundary conditions

Abstract

In this paper, we study a new boundary value problem of coupled nonlinear multi‐term fractional differential equations supplemented with integral multi‐strip coupled boundary conditions. The modern tools of fractional analysis are applied to derive the existence and uniqueness results for the given problem. We emphasize that our results are new and enrich the literature on the topic.

Existence and stability results for non-hybrid single-valued and fully hybrid multi-valued problems with multipoint-multistrip conditions

“…In [25], Ahmad et where q ∈ (1, 2], p ∈ (0, 1), 0 < σ j < b k < d j < 1, ε j , k , ρ j , k , l 1 , l 2 , l 3 , l 4 > 0. We see other similar examples in articles by Lv et al [26], by Salem et al [27], by Ahmad et al [28], etc. Inspired by the above ideas and by [29], in this paper, we investigate the existence of solutions of non-hybrid single-valued FBVP with integro-non-hybrid-multiterm-multipointmultistrip boundary conditions:…”

Existence results for a coupled system of nonlinear multi‐term fractional differential equations with anti‐periodic type coupled nonlocal boundary conditions

“…The study of coupled systems of fractional differential equations also constitutes a significant area of investigation in view of their extensive application in applied sciences. For some recent development on the topic, the reader is referred to the articles 15‐23 and references therein.…”

On a coupled system of higher order nonlinear Caputo fractional differential equations with coupled Riemann–Stieltjes type integro-multipoint boundary conditions

“…In particular, there was a special attention on proving the existence and uniqueness of solutions for fractional differential systems supplemented with a variety of classical and non-classical (nonlocal) boundary conditions with the aid of modern methods of functional analysis. For details and examples, see [13][14][15][16][17][18][19][20][21][22] and the references cited therein. It is imperative to mention that fractional-order models are more practical and informative than their integer-order counterparts.…”