We deal with the solution of the integral equation with generalized Mittag-Leffler function \( {E}_{\alpha, \beta}^{\upgamma, \mathrm{q}}(z) \) specifying the kernel with the help of a fractional integral operator. The existence of the solution is justified and necessary conditions for the integral equation admitting a solution are discussed. In addition, the solution of the integral equation is obtained.
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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 72, No. 5, pp. 620–627, May, 2020.
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Desai, R., Salehbhai, I.A. & Shukla, A.K. Integral Equations Involving Generalized Mittag-Leffler Function. Ukr Math J 72, 712–721 (2020). https://doi.org/10.1007/s11253-020-01811-z
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DOI: https://doi.org/10.1007/s11253-020-01811-z