Results 91 to 100 of about 4,793 (184)

Survey and new results on boundary-value problems of singular fractional differential equations with impulse effects

Electronic Journal of Differential Equations, 2016
Firstly we prove existence and uniqueness of solutions of Cauchy problems of linear fractional differential equations (LFDEs) with two variable coefficients involving Caputo fractional derivative, Riemann-Liouville derivative, Caputo type Hadamard ...
Yuji Liu
doaj  

Homotopy Perturbation ρ-Laplace Transform Method and Its Application to the Fractional Diffusion Equation and the Fractional Diffusion-Reaction Equation

Fractal and Fractional, 2019
In this paper, the approximate solutions of the fractional diffusion equations described by the fractional derivative operator were investigated. The homotopy perturbation Laplace transform method of getting the approximate solution was proposed.
Ndolane Sene, Aliou Niang Fall
doaj   +1 more source

Fast Calculation for the Flow and Heat Transfer of Tempered Fractional Maxwell Viscoelastic Fluid

International Journal for Numerical Methods in Fluids, Volume 98, Issue 8, Page 969-979, August 2026.
This study develops a tempered fractional Maxwell model to simulate unsteady thermal flow in viscoelastic fluids, capturing key rheological behaviors. A fast SOE‐based algorithm is proposed to improve the computational efficiency of the numerical scheme. Results reveal how key parameters influence fluid motion and heat transfer, demonstrating the model'
Yi Liu, Mochen Jiang, Libo Feng
wiley   +1 more source

Vectors and Vector‐Borne Diseases: Biology, Epidemiology and Integrated Control Strategies

Journal of Applied Entomology, Volume 150, Issue 7, Page 990-1015, August 2026.
ABSTRACT Vector‐Borne Diseases (VBDs), transmitted by arthropods such as mosquitoes, ticks, fleas and sandflies, represent a significant threat to global health. These diseases can be caused by a variety of pathogens, including bacteria, viruses, protozoa, and helminths.
Roberta Rinaldi, Carmen Scieuzo, Federica De Stefano, Luca Masucci, Patrizia Falabella   +4 more
wiley   +1 more source

Study on generalized fuzzy fractional human liver model with Atangana-Baleanu-Caputo fractional derivative. [PDF]

Eur Phys J Plus, 2022
Verma L, Meher R.
europepmc   +1 more source

A New Mixed Fractional Derivative with Applications in Computational Biology

Computation
This study develops a new definition of a fractional derivative that mixes the definitions of fractional derivatives with singular and non-singular kernels.
Khalid Hattaf
doaj   +1 more source

Langevin Equations with Generalized Proportional Hadamard-Caputo Fractional Derivative. [PDF]

Comput Intell Neurosci, 2021
Barakat MA, Soliman AH, Hyder AA, Hyder AA.   +3 more
europepmc   +1 more source

Fractional advection differential equation within Caputo and Caputo–Fabrizio derivatives

Advances in Mechanical Engineering, 2016
In this research, we applied the variational homotopic perturbation method and q-homotopic analysis method to find a solution of the advection partial differential equation featuring time-fractional Caputo derivative and time-fractional Caputo–Fabrizio ...
Dumitru Baleanu, Bahram Agheli, Maysaa Mohamed Al Qurashi   +2 more
doaj   +1 more source

Solving General Differential Equations of Fractional Orders Via Rohit Transform [PDF]

Kirkuk Journal of Science
inspecting the attributes of derivatives and integrals of fractional orders known as fractional derivatives and integrals. In this article, a far-out complex integral transform known as the Rohit transform (RT) is put into use for working out general ...
Rohit Gupta, Rahul Gupta, Dinesh Verma
doaj   +1 more source

Fractional Linear Systems With Nonsingular Kernel: Explicit Solutions and Ulam–Hyers Stability

Journal of Mathematics
This paper is devoted to the explicit representation of solutions for a class of differential equations involving the Caputo–Fabrizio fractional derivative with a nonsingular kernel.
Mustafa Aydin
doaj   +1 more source