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    EXISTENCE OF SOLUTIONS FOR 2D NONLINEAR FRACTIONAL VOLTERRA INTEGRAL EQUATIONS IN BANACH SPACE
    (Rocky Mt Math Consortium, 2023) Saini, Parul; Cakan, Umit; Deep, Amar
    We study the existence of solutions for 2D fractional Volterra integral equations, using Petryshyn's fixed-point theorem and measures of noncompactness in the Banach space C([0, a] x [0, b], R). Our results generalize results gained from earlier studies under some weaker conditions. We present some examples applying our results.
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    SOLVABILITY FOR FRACTIONAL INTEGRAL EQUATIONS VIA PETRYSHYN'S FIXED-POINT THEOREM
    (Rocky Mt Math Consortium, 2023) Deep, Amar; Saini, Deepika; Singh, Hitesh Kumar; Cakan, Umit
    We examine the solvability of fractional integral equations using the techniques of measure of noncompactness and the Petryshyn's fixed-point theorem in Banach space concerning the Riemann-Liouville integral operator. The results obtained in this paper cover some earlier results obtained by numerous authors under weaker conditions. In the end, two applications are given to illustrate the major result.