International Journal of Nonlinear Analysis and Applications

The existence of a solution to more general proportional forms of fractional integrals via a measure of noncompactness

Document Type : Research Paper

Authors

1 Depth of Mathematics, Rajiv Gandhi University, India

2 Department of Mathematics, Cotton University, Panbazar, Guwahati-781001, Assam, India

Abstract

A fixed point theorem is proved using a newly constructed contraction operator in this article, and the solvability of a more general type of fractional integrals based here on the proportional derivative is analyzed. We also use suitable examples to illustrate our findings.

Keywords

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International Journal of Nonlinear Analysis and Applications
Volume 14, Issue 10
October 2023
Pages 117-125
  • Receive Date: 28 December 2021
  • Revise Date: 19 February 2023
  • Accept Date: 01 March 2023