Solvability of fractional integral equations via Darbo’s fixed point theorem

Deuri, Bhuban Chandra; Das, Anupam

doi:10.1007/s11868-022-00458-7

Cited by 9 publications

(1 citation statement)

References 18 publications

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“…Darbo [4] was the first researcher that employed the measure of noncompactness to study the relationship between that of compact and contraction mappings. On the other hand, Darbo's, Sadovski's [5], and Mönch's [6,7] fixed-point theorems were considered effective tools for studying the existence of solutions of several classes and types of differential equations, especially for fractional differential equations (see [8][9][10][11][12][13][14][15][16][17][18] and references therein).…”

Section: Introductionmentioning

confidence: 99%

A Study of an IBVP of Fractional Differential Equations in Banach Space via the Measure of Noncompactness

Mesmouli,

Hamza,

Rizk

2023

Fractal Fract

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In this article, we are concerned with a very general integral boundary value problem of Riemann–Liouville derivatives. We will study the problem in Banach space. To be more specific, we are interested in proving the existence of a solution to our problem via the measure of noncompactness and Mönch fixed-point theorem. Our study in Banach space contains two nonlinear terms and two different orders of derivatives, ς and τ, such that ς∈1,2 and τ∈0,ς. Our paper ends with a conclusion.

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