Application of measure of noncompactness on integral equations involving generalized proportional fractional and Caputo-Fabrizio fractional integrals

Author:

Das Anupam1,Hazarika Bipan2,Parvanah Vahid3,Mahato Nihar4

Affiliation:

1. Department of Mathematics, Cotton University, Panbazar, Guwahati, Assam, India

2. Department of Mathematics, Gauhati University, Guwahati, Assam, India

3. Department of Mathematics, Gilan-E-Gharb Branch, Islamic Azad University, Gilan-E-Gharb, Iran

4. Discipline of Natural Science, Indian Institute of Information Technology, Design, and Manufacturing Jabalpur, India

Abstract

Using Petryshyn?s fixed point theorem, we show the existence of solution to fractional integral equations, including generalized proportional and Caputo-Fabrizio fractional integrals. We also use appropriate examples to support our findings.

Publisher

National Library of Serbia

Subject

General Mathematics

Reference36 articles.

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3. N.H. Abel, Oplosning af et par opgaver ved hjelp af bestemte integraler, Magazin for Naturvidenskaberne. Kristiania, (Oslo) 2(55) 1823:2.

4. R.S. Adiguzel, U. Aksoy, E. Karapınar and I.M. Erhan, On the solution of a boundary value problem associated with a fractional differential equation, Math. Methods Appl. Sci., (2020). https://doi.org/10.1002/mma.6652.

5. R.S. Adiguzel, U. Aksoy, E. Karapınar and I.M. Erhan, On The Solutions Of Fractional Differential Equations Via Geraghty Type Hybrid Contractions, Appl. Comput. Math., 20(2), 2021, 313-333.

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