Certain Weighted Fractional Inequalities via the Caputo–Fabrizio Approach

Abstract

The Caputo–Fabrizio fractional integral operator is one of the important notions of fractional calculus. It is involved in numerous illustrative and practical issues. The main goal of this paper is to investigate weighted fractional integral inequalities using the Caputo–Fabrizio fractional integral operator with non-singular e−1−δδ(ϰ−s), 0<δ<1. Furthermore, based on a family of n positive functions defined on [0,∞), we investigate some new extensions of weighted fractional integral inequalities.

Hermite–Hadamard-Type Inequalities via Caputo–Fabrizio Fractional Integral for h-Godunova–Levin and (h1, h2)-Convex Functions

“…For some recent developments related to developed inequalities; see Refs. [21][22][23][24][25][26][27][28][29][30][31][32][33][34][35][36][37].…”

A Method to solve ordinary fractional differential equations using Elzaki and Sumudu transform

“…Recently, The Caputo and Caputo-Fabrizio fractional operators have recently become quite popular among mathematicians in applied fields. We cite for additional information [7,8,9,10,11,12].…”