In this paper, we establish sufficient conditions for the existence and uniqueness of solution
for a class of initial boundary value problems with Dirichlet condition in regard to a category …

In modern mathematics, the fundamentals surrounding fractional computation and the
fractional differential equation have taken center stage. The idea of fractional computation …

This work investigates the existence and uniqueness of solutions for a coupled system of
fractional differential equations with three‐point generalized fractional integral boundary …

A fractional model of the Hopfield neural network is considered in the case of the application
of the generalized proportional Caputo fractional derivative. The stability analysis of this …

In our paper, we mainly concentrate on the existence of Hilfer fractional neutral stochastic
Volterra integro-differential inclusions with almost sectorial operators. The facts related to …

A scalar nonlinear integro-differential equation with time-variable and bounded delays and
generalized Caputo proportional fractional derivative is considered. The main goal of this …

In this paper, we formulate the new set of sufficient conditions for the controllability of Hilfer
fractional neutral differential systems with almost sectorial operator and infinite delay. Firstly …

This manuscript mainly focused on the nonlocal controllability of Hilfer fractional stochastic
differential equations via almost sectorial operators. The key ideas of the study are illustrated …

The object of investigation in this paper is a scalar linear fractional differential equation with
generalized proportional derivative of Riemann–Liouville type (LFDEGD). The main goal is …

In this work, we introduce the notion of a (weak) proportional Caputo fractional derivative of
order α∈(0, 1) for a continuous (locally integrable) function u:[0,∞)→ E, where E is a …