This paper deals with the existence and uniqueness of the mild solution of the fractional integro-differential equations with non-instantaneous impulses and state-dependent delay. Our arguments are based on the fixed point ...

In this chapter, we discuss the necessary mathematical tools, notations, and concepts we need in the succeeding chapters. We look at some essential properties of fractional differential operators. We also review some of ...

This manuscript deals with a class of Katugampola implicit fractional differential equations in b-metric spaces. The results are based on the α-ϕ-Geraghty type contraction and the fixed point theory. We express an illustrative ...