In this manuscript, we investigate the issue of approximate controllability for a certain class
of abstract neutral integro-differential equations having non-instantaneous impulsions and …

We introduce the notion of generalized parametric metric spaces along with the study of its
various properties. Further, we prove some new fixed point theorems for (α, ψ) (α,ψ)-rational …

In this paper, we discuss solvability of infinite system of fractional integral equations (FIE) of
mixed type. To achieve this goal, we first use shifting distance function to establish a new …

In this article, we have considered the non-instantaneous fractional integro di erential
evolution system with Hilfer fractional di erential operator in the Banach space and …

In this manuscript, we have established conditions for the existence and uniqueness of mild
and classical solutions to the fractional order Cauchy problem by including and without …

This thesis comprehensively addresses theoretical and numerical aspects of a specific class
of fractional differential equations. Initially, we discuss results related to the uniqueness …

The existence of the mild solution to the impulsive integro-differential equation with a
Conformable Fractional differential operator of order 0< γ≤ 1 has been established in this …

We study a class of non-instantaneous impulsive fractional differential equations in a
Banach space. We consider the Cauchy problem with Caputo derivative having variable …

We introduce the notion of generalized parametric metric spaces along with the study of its
various properties. Further, we prove some new fixed point theorems for (α, ψ)-rational-type …

This article examines the trajectory controllability (TC) of second-order evolution systems
while taking impulses into account. A cosine family of operators produced by the linear …