Abstract
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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