Investigating the existence, uniqueness, and stability of solutions in boundary value problem of fractional differential equations

R Poovarasan, JF Gómez-Aguilar… - Physica Scripta, 2024 - iopscience.iop.org
This study uses fixed point theory and the Banach contraction principle to prove the
existence, uniqueness, and stability of solutions to boundary value problems involving a Ψ …

[HTML][HTML] Piecewise fractional derivatives and wavelets in epidemic modeling

M Mohammad, M Sweidan, A Trounev - Alexandria Engineering Journal, 2024 - Elsevier
In this paper, we propose a novel methodology for studying the dynamics of epidemic
spread, focusing on the utilization of fundamental mathematical concepts related to …

Study of three-point impulsive boundary value problems governed by -Caputo fractional derivative

R Poovarasan, ME Samei, V Govindaraj - Journal of Applied Mathematics …, 2024 - Springer
In this study, we investigate the existence and uniqueness of solutions for specific type of
three-point boundary value problems. These problems focus on nonlinear impulsive …

Exploring existence, uniqueness, and stability in nonlinear fractional boundary value problems with three-point boundary conditions

R Poovarasan, T Abdeljawad, V Govindaraj - Physica Scripta, 2024 - iopscience.iop.org
This study investigates the analysis of the existence, uniqueness, and stability of solutions
for a Ψ-Caputo three-point nonlinear fractional boundary value problem using the Banach …

[PDF][PDF] Existence, Uniqueness, and Stability of a Nonlinear Tripled Fractional Order Differential System

YA Madani, MNA Rabih, FA Alqarni, Z Ali… - Fractal and …, 2024 - researchgate.net
This manuscript investigates the existence, uniqueness, and different forms of Ulam stability
for a system of three coupled differential equations involving the Riemann–Liouville (RL) …

Mathematical Modelling of HIV/AIDS Treatment Using Caputo–Fabrizio Fractional Differential Systems

S Manikandan, T Gunasekar, A Kouidere… - Qualitative Theory of …, 2024 - Springer
The focus of this study lies in developing and evaluating a Caputo–Fabrizio fractional
derivative model that encapsulates the dynamics of the worldwide HIV/AIDS epidemic while …

Boundary Value Problem for a Loaded Pseudoparabolic Equation with a Fractional Caputo Operator

S Aitzhanov, K Bekenayeva, Z Abdikalikova - Mathematics, 2023 - mdpi.com
Differential equations containing fractional derivatives, for both time and spatial variables,
have now begun to attract the attention of mathematicians and physicists; they are used in …

Analysis of a Coupled System of -Caputo Fractional Derivatives with Multipoint–Multistrip Integral Type Boundary Conditions

HNA Khan, A Zada, I Khan - Qualitative Theory of Dynamical Systems, 2024 - Springer
In this paper, we investigate the existence of solutions for a new coupled system of fractional
differential equations that involves ψ-Caputo fractional derivatives equipped with coupled …

Investigation of a class of differential equations of complex order with boundary conditions

Asma, A Mehmood, K Shah, T Abdeljawad - The Journal of Analysis, 2024 - Springer
In this manuscript, a class of boundary value problems (BVPs) of complex order fractional
differential equations (COFDEs) using the Caputo–Fabrizio (C–F) operator is considered …