Results 1 to 10 of about 56,071 (293)

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  

A highly accurate method for multi-term time fractional diffusion equation in two dimensions with ψ-Caputo fractional derivative

Results in Applied Mathematics
In this study, the ψ-Caputo fractional derivative (as a generalization of the classical Caputo derivative where the fractional derivative is defined with respect to the function ψ) is considered to introduce a class of multi-term time fractional 2D ...
M.H. Heydari, M. Razzaghi
doaj   +1 more source

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

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

Modelling the Spread of River Blindness Disease via the Caputo Fractional Derivative and the Beta-derivative

Entropy, 2016
Information theory is used in many branches of science and technology. For instance, to inform a set of human beings living in a particular region about the fatality of a disease, one makes use of existing information and then converts it into a ...
A. Atangana, Rubayyi T. Alqahtani
semanticscholar   +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

A numerical evaluation and regularization of Caputo fractional derivatives [PDF]

, 2011
Ming Li, Xiangtuan Xiong, Y J Wang
openalex   +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

Caputo-type modification of the Hadamard fractional derivatives [PDF]

, 2012
Fahd Jarad, Thabet Abdeljawad, Dumitru Băleanu   +2 more
openalex   +1 more source

An extension of Caputo fractional derivative operator and its applications

, 2016
In this paper, an extension of Caputo fractional derivative operator is introduced, and the extended fractional derivatives of some elementary functions are calculated.
I Onur Kıymaz, A. etinkaya, P. Agarwal, X.J. Yang   +3 more
semanticscholar   +1 more source