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 …
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
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 …
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 …
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 …
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 …
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
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 …
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 …
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 …
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 …
generalized proportional derivative of Riemann–Liouville type (LFDEGD). The main goal is …
Three-strain epidemic model for influenza virus involving fractional derivative and treatment
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 …
dynamics of a three-strain influenza outbreak while taking into consideration the treatment …