Nonlinear dynamics of a piecewise modified ABC fractional-order leukemia model with symmetric numerical simulations

H Khan, J Alzabut, WF Alfwzan, H Gulzar - Symmetry, 2023 - mdpi.com
In this study, we introduce a nonlinear leukemia dynamical system for a piecewise modified
ABC fractional-order derivative and analyze it for the theoretical as well computational works …

A mathematical theoretical study of a coupled fully hybrid (k, Φ)-fractional order system of BVPs in generalized Banach spaces

A Boutiara, S Etemad, STM Thabet, SK Ntouyas… - Symmetry, 2023 - mdpi.com
In this paper, we study a coupled fully hybrid system of (k, Φ)–Hilfer fractional differential
equations equipped with non-symmetric (k, Φ)–Riemann-Liouville (RL) integral conditions …

Processing Fractional Differential Equations Using ψ-Caputo Derivative

M Tayeb, H Boulares, A Moumen, M Imsatfia - Symmetry, 2023 - mdpi.com
Recently, many scientists have studied a wide range of strategies for solving characteristic
types of symmetric differential equations, including symmetric fractional differential …

Investigating integrodifferential equations associated with fractal–fractional differential operators

G Gokulvijay, S Sabarinathan - Physics of Fluids, 2024 - pubs.aip.org
This study focuses on integrodifferential equations involving fractal–fractional differential
operators characterized by exponential decay, power law, and generalized Mittag–Leffler …

On the Cauchy Problem for Nonlinear Fractional Systems with Lipschitzian Matrices Under the Generalized Metric Spaces

A Boutiara, SK Ntouyas, TA Assiri, J Tariboon… - Qualitative Theory of …, 2024 - Springer
This research paper study the existence, uniqueness and Ulam–Hyers stability of the
solutions of a certain system of thegeneralized Caputo fractional differential equations in the …

Existence of mild solutions for perturbed fractional neutral differential equations through deformable derivatives in Banach spaces

R Sreedharan, S Raja Balachandar… - International Journal of …, 2023 - World Scientific
The deformable derivative [𝒟𝒟] is used in this work to give the necessary restrictions for the
existence of mild solutions for perturbed fractional neutral differential equations [PFNDE] in …

Abstract Fixed-Point Theorems and Fixed-Point Iterative Schemes

C Vetro - Symmetry, 2022 - mdpi.com
Mathematical methods are extensively used in dealing with simulation and approximation
problems related to computer science, engineering, physics, and many others. Such …

On ψ‐Caputo Partial Hyperbolic Differential Equations with a Finite Delay

MS Abdo, M Zakarya, EE Mahmoud… - Journal of Function …, 2022 - Wiley Online Library
In this work, we are concerned with some qualitative analyses of fractional‐order partial
hyperbolic functional differential equations under the ψ‐Caputo type. To be precise, we …

La dérivée fractionnaire Du ψ-caputo et application sur les equations différentielles fractionnaires

N Kroumli, O Zenouda - 2024 - dspace.univ-tiaret.dz
Dans ce travail, nous nous int eressons à étudier les résultats de l'existence et de l'unicité
des solutions pour un problème différentielle non lin eaire d'ordre fractionnaire, avec la …

[PDF][PDF] Research Article On ψ-Caputo Partial Hyperbolic Differential Equations with a Finite Delay

MS Abdo, M Zakarya, EE Mahmoud, SM Ali… - 2022 - researchgate.net
In this work, we are concerned with some qualitative analyses of fractional-order partial
hyperbolic functional differential equations under the ψ-Caputo type. To be precise, we …