Results 61 to 70 of about 1,363 (174)

Fuzzy fractional delay integro-differential equation with the generalized Atangana-Baleanu fractional derivative

Demonstratio Mathematica
In this work, we consider a class of fuzzy fractional delay integro-differential equations with the generalized Caputo-type Atangana-Baleanu (ABC) fractional derivative.
Wang Guotao, Feng Meihua, Zhao Xianghong, Yuan Hualei   +3 more
doaj   +1 more source

Multi-term fractional differential equations with nonlocal boundary conditions

Open Mathematics, 2018
We introduce and study a new kind of nonlocal boundary value problems of multi-term fractional differential equations. The existence and uniqueness results for the given problem are obtained by applying standard fixed point theorems.
Ahmad Bashir, Alghamdi Najla, Alsaedi Ahmed, Ntouyas Sotiris K.   +3 more
doaj   +1 more source

Dynamical, Stability, and Bifurcation of a Viral Model With General Cell‐to‐Cell Incidence Rate and Delayed Saturated CTL Immunity

International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.
In this paper, we propose a viral model with cell‐to‐cell propagation, delayed saturated CTL immunity, and general incidence rate. Two biological threshold parameters, namely, the basic reproductive number R0 and the CTL immune reproductive number R1, are derived.
Mouhcine Naim, May M. Helal, Rasha M. Yaseen, Ahmed A. Mohsen, Theodore Simos   +4 more
wiley   +1 more source

A note on Hadamard fractional differential equations with varying coefficients and their applications in probability

, 2017
In this paper we show several connections between special functions arising from generalized COM-Poisson-type statistical distributions and integro-differential equations with varying coefficients involving Hadamard-type operators. New analytical results
Garra, Roberto, Orsingher, Enzo, Polito, Federico   +2 more
core   +1 more source

Oscillation criteria of fractional differential equations

, 2012
In this article, we are concerned with the oscillation of the fractional differential equation r(t)D-αyη(t)′-q(t)f∫t∞(v-t)-αy(v)dv=0fort>0, where D-αy is the Liouville right-sided fractional derivative of order α ∈ (0,1) of y and η > 0 is a quotient of
Da-Xue Chen
semanticscholar   +1 more source

Trajectory Controllability of Fractional Neutral Stochastic Dynamical Systems of Order α ∈ (1, 2] With Deviating Argument

Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.
In this manuscript, we establish existence, uniqueness, and trajectory controllability for higher order noninstantaneous impulsive fractional neutral stochastic differential equations. First, solvability and uniqueness results are obtained using a fixed‐point approach with appropriate assumptions on nonlinear functions. Next, we deal with the strongest
Dhanalakshmi Kasinathan, Ravikumar Kasinathan, Ramkumar Kasinathan, Karthikeyan Shanmugasundaram, Dimplekumar Chalishajar, Theodore Simos   +5 more
wiley   +1 more source

Uniqueness of solutions for a ψ-Hilfer fractional integral boundary value problem with the p-Laplacian operator

Demonstratio Mathematica, 2023
In this article, we discuss the existence of a unique solution to a ψ\psi -Hilfer fractional differential equation involving the pp-Laplacian operator subject to nonlocal ψ\psi -Riemann-Liouville fractional integral boundary conditions.
Alsaedi Ahmed, Alghanmi Madeaha, Ahmad Bashir, Alharbi Boshra   +3 more
doaj   +1 more source

CAPUTO FRACTIONAL INTEGRO-DIFFERENTIAL EQUATION WITH NONLOCAL CONDITIONS IN BANACH SPACE

International Journal of Apllied Mathematics, 2019
The aim of the present paper is to prove the existence of solutions of the initial value problem for a nonlinear integro-differential equation of fractional order α ∈ (0, 1) with nonlocal conditions in Banach spaces.
Mohammed S Abdo, Abdulkafi. M. Saeed, S. K. Panchal   +2 more
semanticscholar   +1 more source

Existence and Stability Results for a Modified Diffusion Equation Involving Atangana–Baleanu–Caputo Fractional Derivative

Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.
This article shows another display of the modified diffusion equation of fractional order involving Atangana–Baleanu–Caputo fractional derivative. The manuscript contains three major cases: the existence of a solution, uniqueness of the solution, and Hyers–Ulam stability, which are discussed based on valid theorems in nonlinear analysis.
Maral Sangi, Mohammad Esmael Samei, Arpan Hazra   +2 more
wiley   +1 more source

Boundary value problems of Hilfer-type fractional integro-differential equations and inclusions with nonlocal integro-multipoint boundary conditions

Open Mathematics, 2020
In this paper, we study boundary value problems of fractional integro-differential equations and inclusions involving Hilfer fractional derivative.
Nuchpong Cholticha, Ntouyas Sotiris K., Tariboon Jessada   +2 more
doaj   +1 more source