Bouharket Bendouma, Mehmet Zeki Sarikaya
abstract:
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 nonlocal thermistor problem on time scales is studied by
using the Banach contraction principle and Schauder's fixed point theorem.
Mathematics Subject Classification: 26A33, 26E70, 34A08, 34N05
Key words and phrases: Fractional nonlocal thermistor problem, conformable fractional calculus on time scales, existence theorems, fixed point theorems