Title of article
Application of a generalization of Darbo's fixed point theorem via Mizogochi-Takahashi mappings on mixed fractional integral equations involving (k,s)-Riemann-Liouville and Erd {e}lyi-Kober fractional integrals
Author/Authors
Das, Anupam Department of Mathematics - Cotton University, Panbazar, Guwahati, Assam, India , Parvaneh, Vahid Department of Mathematics - Islamic Azad University Gilan-E-Gharb Branch, Gilan-E-Gharb, Iran , Chandra Deuri, Bhuban Department of Mathematics - Rajiv Gandhi University, Rono Hills, Doimukh, Arunachal Pradesh, India , Bagheri, Zohreh Department of Mathematics - Islamic Azad University Azadshahr Branch, Azadshahr, Iran
Pages
11
From page
859
To page
869
Abstract
We have established the solvability of fractional integral equations with both (k,s)-Riemann-Liouville and Erd'{e}lyi-Kober fractional integrals using a new generalized version of the Darbo's theorem using Mizogochi-Takahashi mappings and justify the validity of our results with the help of suitable examples.
Keywords
Functional integral equations (FIE) , Measure of non-compactness (MNC) , Fixed point theorems (FPT)
Journal title
International Journal of Nonlinear Analysis and Applications
Serial Year
2022
Record number
2711443
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