Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 13 1 2022 03 01 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 859 869 5604 10.22075/ijnaa.2021.23002.2451 EN Anupam Das Department of Mathematics, Cotton University, Panbazar, Guwahati-781001, Assam, India Vahid Parvaneh Department of Mathematics, Gilan-E-Gharb Branch, Islamic Azad University, Gilan-E-Gharb, Iran Bhuban Chandra Deuri Department of Mathematics, Rajiv Gandhi University, Rono Hills, Doimukh-791112, Arunachal Pradesh, India Zohreh Bagheri Department of Mathematics, Azadshahr Branch, Islamic Azad University, Azadshahr, Iran Journal Article 2021 03 27 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. https://ijnaa.semnan.ac.ir/article_5604_2875eb12ff04d03bd58ea4a26040bb6d.pdf