Results 71 to 80 of about 974 (111)

A discussion on the existence of positive solutions of the boundary value problems via ψ-Hilfer fractional derivative on b-metric spaces

Advances in Difference Equations, 2020
In this paper, we investigate the existence of positive solutions for the new class of boundary value problems via ψ-Hilfer fractional differential equations. For our purpose, we use the α − ψ $\alpha -\psi $ Geraghty-type contraction in the framework of
Hojjat Afshari, Erdal Karapınar
doaj   +1 more source

Stability Analysis and Simulation of Diffusive Vaccinated Models

Complexity, Volume 2024, Issue 1, 2024.
This paper begins by analyzing the key mathematical properties of diffusive vaccinated models, including existence, uniqueness, positivity, and boundedness. Equilibria are identified, and the basic reproductive number is calculated. The Banach contraction mapping principle is applied to rigorously establish the solution existence and uniqueness.
Mohammed M. Al-Shamiri, N. Avinash, P. Chellamani, Manal Z. M. Abdallah, G. Britto Antony Xavier, V. Rexma Sherine, M. Abisha, Sergey Dashkovskiy   +7 more
wiley   +1 more source

Improved Stability and Instability Results for Neutral Integro‐Differential Equations including Infinite Delay

Journal of Mathematics, Volume 2024, Issue 1, 2024.
In this article, we consider nonlinear neutral Volterra integro‐differential equations (NVIDEs) including infinite delay. We prove three new theorems with regard to the stability, the uniform stability, and the instability of zero solution of the NVIDEs.
Cemil Tunç, Fahir Talay Akyildiz, Valerii Obukhovskii   +2 more
wiley   +1 more source

Pseudo-fractional differential equations and generalized g-Laplace transform. [PDF]

J Pseudodiffer Oper Appl, 2021
Sousa JVDC, Camargo RF, de Oliveira EC, Frederico GSF.   +3 more
europepmc   +1 more source

Existence results of ψ-Hilfer integro-differential equations with fractional order in Banach space

Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2020
In this article we present the existence and uniqueness results for fractional integro-differential equations with ψ-Hilfer fractional derivative. The reasoning is mainly based upon different types of classical fixed point theory such as the Mönch fixed ...
Mohammed A. Almalahi, Satish K. Panchal
doaj  

Fractional-Order Ebola-Malaria Coinfection Model with a Focus on Detection and Treatment Rate. [PDF]

Comput Math Methods Med, 2022
Zhang L, Addai E, Ackora-Prah J, Arthur YD, Asamoah JKK.   +4 more
europepmc   +1 more source

Fractional order SEIQRD epidemic model of Covid-19: A case study of Italy. [PDF]

PLoS One, 2023
Paul S, Mahata A, Mukherjee S, Mali PC, Roy B.   +4 more
europepmc   +1 more source

On the Generalized Hilfer Fractional Coupled Integro-Differential Systems with Multi-Point Ordinary and Fractional Integral Boundary Conditions

Axioms
In this paper, we investigate a nonlinear coupled integro-differential system involving generalized Hilfer fractional derivative operators ((k,ψ)-Hilfer type) of different orders and equipped with non-local multi-point ordinary and fractional integral ...
Chayapat Sudprasert, Sotiris K. Ntouyas, Bashir Ahmad, Ayub Samadi, Jessada Tariboon   +4 more
doaj   +1 more source

Study on Controllability for Ψ-Hilfer Fractional Stochastic Differential Equations

Fractal and Fractional
The goal of this paper is to study the existence of a mild solution and controllability for a class of neutral stochastic differential equations (SDEs) involving the Ψ-Hilfer fractional derivatives, a generalization of the well-known Riemann–Liouville ...
Abdur Raheem, Fahad M. Alamrani, Javed Akhtar, Adel Alatawi, Esmail Alshaban, Areefa Khatoon, Faizan Ahmad Khan   +6 more
doaj   +1 more source

A novel approach on the sequential type ψ-Hilfer pantograph fractional differential equation with boundary conditions

Boundary Value Problems
This article investigates sufficient conditions for the existence and uniqueness of solutions to the ψ-Hilfer sequential type pantograph fractional boundary value problem.
Elkhateeb S. Aly, M. Latha Maheswari, K. S. Keerthana Shri, Waleed Hamali   +3 more
doaj   +1 more source