On tripled fixed point theorems via measure of noncompactness with applications to a system of fractional integral equations

Abstract

In this paper, an extension of Darbo?s fixed point theorem via the concept of operators A(f;.) and ?-?-contractions in a Banach space has been presented. We illustrate that some conditions of control functions ? and ? can be omitted where they applied previously in [Mohammadi et al., Mathematics, 2020, 8(4), 492]. As an application, we study the existence of solutions for a system of fractional integral equations. Finally, to support the effectiveness of our results, we present an example.

Weak Wardowski contractive multivalued mappings and solvability of generalized phi-Caputo fractional snap boundary inclusions

“…Recently, Parvaneh and Farajzadeh [20] introduced and obtained the weak Wardowski contractions and obtained some fixed point theorems for this contractions via the notion of measure of noncompactness.…”

Chebyshev-Type Inequalities Involving ( k , ψ )-Proportional Fractional Integral Operators

“…In [10], authors studied Pólya-Szegö-type inequalities and Grüss-type inequalities with the help of ðk, ψÞ-proportional fractional operators. In recent years, many researchers have been working in the direction of estimating the fractional version of various inequalities [13][14][15][16][17][18][19] and the references given there.…”