Existence of mild solutions for Hilfer fractional neutral integro-differential inclusions via almost sectorial operators

CBS Varun Bose, R Udhayakumar - Fractal and Fractional, 2022 - mdpi.com
This manuscript focuses on the existence of a mild solution Hilfer fractional neutral integro-
differential inclusion with almost sectorial operator. By applying the facts related to fractional …

[PDF][PDF] A study of a weak solution of a diffusion problem for a temporal fractional differential equation

N Anakira, Z Chebana, TE Oussaeif… - Nonlinear …, 2022 - nfaa.kyungnam.ac.kr
In this paper, we establish sucient conditions for the existence and uniquenessof solution for
a class of initial boundary value problems with Dirichlet condition in regard to a category of …

On a coupled system of fractional differential equations via the generalized proportional fractional derivatives

MI Abbas, M Ghaderi, S Rezapour… - Journal of function …, 2022 - Wiley Online Library
This work investigates the existence and uniqueness of solutions for a coupled system of
fractional differential equations with three‐point generalized fractional integral boundary …

Hilfer fractional neutral stochastic Volterra integro-differential inclusions via almost sectorial operators

S Sivasankar, R Udhayakumar - Mathematics, 2022 - mdpi.com
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 …

Quadratic Lyapunov Functions for Stability of the Generalized Proportional Fractional Differential Equations with Applications to Neural Networks

R Almeida, RP Agarwal, S Hristova, D O'Regan - Axioms, 2021 - mdpi.com
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 …

A new result concerning nonlocal controllability of Hilfer fractional stochastic differential equations via almost sectorial operators

S Sivasankar, R Udhayakumar, M Hari Kishor… - Mathematics, 2022 - mdpi.com
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 …

Stability for generalized Caputo proportional fractional delay integro-differential equations

M Bohner, S Hristova - Boundary Value Problems, 2022 - Springer
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 …

Analysis on the controllability of Hilfer fractional neutral differential equations with almost sectorial operators and infinite delay via measure of noncompactness

CSV Bose, R Udhayakumar - Qualitative Theory of Dynamical Systems, 2023 - Springer
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 …

Explicit solutions of initial value problems for fractional generalized proportional differential equations with and without impulses

S Hristova, MI Abbas - Symmetry, 2021 - mdpi.com
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 …

Three-strain epidemic model for influenza virus involving fractional derivative and treatment

Z Yaagoub, EM Farah, S Ahmad - Journal of Applied Mathematics and …, 2024 - Springer
This work proposes a fractional-order derivative model that aims to effectively imitate the
dynamics of a three-strain influenza outbreak while taking into consideration the treatment …