Results 71 to 80 of about 2,240 (177)

On mathematical modeling of fractional-order stochastic for tuberculosis transmission dynamics

Results in Control and Optimization, 2023
Tuberculosis remains one of the most dangerous diseases globally and has affected many people in Sub-Saharan Africa. In this paper, a fractional stochastic model of tuberculosis disease was formulated and analyzed.
C.W. Chukwu, E. Bonyah, M.L. Juga, Fatmawati   +3 more
doaj   +1 more source

The Novel Numerical Solutions for Time‐Fractional Fishers Equation

Advances in Mathematical Physics, Volume 2026, Issue 1, 2026.
A new method for solving time‐fractional partial differential equations (TFPDEs) is proposed in the paper. It is known as the fractional Kamal transform decomposition method (FKTDM). TFPDEs are approximated using the FKTDM. The FKTDM is particularly effective for solving various types of fractional partial differential equations (FPDEs), including time‐
Aslı Alkan, Hasan Bulut, Ercan Çelik, Zine El Abiddine Fellah   +3 more
wiley   +1 more source

Analysis of differential equations involving Caputo–Fabrizio fractional operator and its applications to reaction–diffusion equations

Advances in Difference Equations, 2019
This manuscript deals with fractional differential equations including Caputo–Fabrizio differential operator. The conditions for existence and uniqueness of solutions of fractional initial value problems is established using fixed point theorem and ...
Amjad Shaikh, Asifa Tassaddiq, Kottakkaran Sooppy Nisar, Dumitru Baleanu   +3 more
doaj   +1 more source

Analytical Study of the Complexities in a Three Species Food Web Model with Modified Caputo–Fabrizio Operator

Fractal and Fractional, 2023
This article presents the analytical study of the three species fractional food web model in the framework of the Modified Caputo–Fabrizio operator.
Badr Saad T. Alkahtani
doaj   +1 more source

Numerical Simulation of Generalized Fractional Thermoelasticity With Two Temperature and Phase Lags in a Half Space Using GLA‐PINN

Complexity, Volume 2026, Issue 1, 2026.
This research manuscript presents a model of heat conduction incorporating two‐phase lags and time fractional derivatives to precisely identify the nonsimple behaviors of thermoelastic materials. Generalized fractional differentiation operators with nonsingular kernels are considered.
Fazl Ullah Fazal, Muhammad Sulaiman, Mustafa Ahmed Ali, Pramita Mishra   +3 more
wiley   +1 more source

A Fractional‐Order Complexity Framework for Misinformation Propagation With Fact‐Checking Saturation and Social Vulnerability Dynamics

Complexity, Volume 2026, Issue 1, 2026.
Misinformation spreads through communities in ways that resemble infectious diseases, but existing mathematical models often miss three real‐world complexities: People remember past information (memory effects), some folks are more easily fooled than others (vulnerability), and fact‐checkers can get overwhelmed during big outbreaks (saturation).
Shewafera Wondimagegnhu Teklu, M. A. Abdelkawy, Waleed Adel, Pramita Mishra   +3 more
wiley   +1 more source

Interventions in Corruption Dynamics: A Computational Analysis With a Piecewise‐Modified Fractional‐Order Derivative

Discrete Dynamics in Nature and Society, Volume 2026, Issue 1, 2026.
Corruption behaves like a social contagion that evolves through interaction, influence, and institutional memory. To capture this complexity, we develop a deterministic corruption‐transmission model governed by a piecewise fractional framework that combines the Caputo and modified Atangana–Baleanu–Caputo (mABC) derivatives. This dual‐operator structure
Mati Ur Rahman, Refka Ghodhbani, Mehmet Yavuz, Saira Tabassum, Deepali   +4 more
wiley   +1 more source

Neuronal Dynamics of an Intrinsically Bursting Neuron Through the Caputo–Fabrizio Fractal–Fractional Hodgkin–Huxley Model

International Journal of Differential Equations, Volume 2026, Issue 1, 2026.
This study introduces a novel fractal–fractional extension of the Hodgkin–Huxley model to capture complex neuronal dynamics, with particular focus on intrinsically bursting patterns. The key innovation lies in the simultaneous incorporation of Caputo–Fabrizio operators with fractional order α for memory effects and fractal dimension τ for temporal ...
M. J. Islam, M. J. Abedin, A. Hoque, M. G. Hafez, Jaume Giné   +4 more
wiley   +1 more source

Solving Fractional Optimal Control Problems Involving Caputo–Fabrizio Derivative Using Hermite Spline Functions

, 2023
In the current research, we develop a collocation method based on the biorthogonal Hermite cubic spline functions to solve a class of fractional optimal control problems using Caputo–Fabrizio derivative operator.
Lakestanı, Mehrdad, Noori Dalawi, Araz, Ashpazzadeh, Elmira   +2 more
core   +1 more source

Generalized Composite Fractional Derivatives and Integral Operators With Incomplete R‐Function Kernels

International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.
Fractional differential equations (FDEs) have received a lot of interest because of their diverse applications in engineering, mathematical physics, chemistry, and biology. This study introduces a new family of fractional integral operators using incomplete R‐function kernels, advancing the theoretical foundation of FDEs further.
Priti Purohit, Ravi Gupta, Shyamsunder, Biniyam Shimelis, Shikha Binwal   +4 more
wiley   +1 more source