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
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.
