Das, Anupam, Parvaneh, Vahid, Deuri, Bhuban, Bagheri, Zohreh. (1400). 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. هنرهای کاربردی, 13(1), 859-869. doi: 10.22075/ijnaa.2021.23002.2451
Anupam Das; Vahid Parvaneh; Bhuban Chandra Deuri; Zohreh Bagheri. "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". هنرهای کاربردی, 13, 1, 1400, 859-869. doi: 10.22075/ijnaa.2021.23002.2451
Das, Anupam, Parvaneh, Vahid, Deuri, Bhuban, Bagheri, Zohreh. (1400). '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', هنرهای کاربردی, 13(1), pp. 859-869. doi: 10.22075/ijnaa.2021.23002.2451
Das, Anupam, Parvaneh, Vahid, Deuri, Bhuban, Bagheri, Zohreh. 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. هنرهای کاربردی, 1400; 13(1): 859-869. doi: 10.22075/ijnaa.2021.23002.2451

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

International Journal of Nonlinear Analysis and Applications
مقاله 71، دوره 13، شماره 1، خرداد 2022، صفحه 859-869    اصل مقاله (444.89 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.23002.2451
نویسندگان
Anupam Das1؛ Vahid Parvaneh* 2؛ Bhuban Chandra Deuri3؛ Zohreh Bagheri4
1Department of Mathematics, Cotton University, Panbazar, Guwahati-781001, Assam, India
2Department of Mathematics, Gilan-E-Gharb Branch, Islamic Azad University, Gilan-E-Gharb, Iran
3Department of Mathematics, Rajiv Gandhi University, Rono Hills, Doimukh-791112, Arunachal Pradesh, India
4Department of Mathematics, Azadshahr Branch, Islamic Azad University, Azadshahr, Iran
چکیده
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.
کلیدواژه‌ها
Functional integral equations (FIE)؛ Measure of non-compactness (MNC)؛ Fixed point theorems (FPT)
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