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ON GENERALIZED CONFORMABLE FRACTIONAL CALCULUS ON TIME SCALES WITH APPLICATION TO A FRACTIONAL NONLOCAL THERMISTOR PROBLEM
(Georgian Natl Acad Sciences, 2025) Bendouma, Bouharket; Sarikaya, Mehmet Zeki
In this paper, we give a new general definition of conformable fractional derivative and integral on time scales, and study some of their important classical properties. As an application, the existence of solutions for the conformable fractional nonlo cal thermistor problem on time scales is studied by using the Banach contraction principle and Schauder's fixed point theorem.