Results 121 to 130 of about 48,942 (223)

On Cauchy problems with Caputo Hadamard fractional derivatives

, 2016
Summary: The current work is motivated by the so-called Caputo-type modification of the Hadamard or Caputo Hadamard fractional derivative. The main aim of this paper is to study Cauchy problems for a differential equation with a left Caputo Hadamard fractional derivative in spaces of continuously differentiable functions.
Adjabi, Y., Jarad, Fahd, Baleanu, D., Abdeljawad, T.   +3 more
openaire   +2 more sources

A Simple and Effective Second-Order Numerical Algorithm for Tempered Fractional Differential Equation With Time Caputo-Tempered Fractional Derivative

Advances in Mathematical Physics
This paper presents an efficient numerical scheme for the space–time tempered fractional convection–diffusion equation, where the time derivative is the Caputo-tempered fractional derivative and the space derivatives are the normalized left and right ...
Dechao Gao, Zeshan Qiu, Lizan Wang, Jianxin Li   +3 more
doaj   +1 more source

Using the spectral meshless radial basis functions method for solving time fractional Burgers’ equation

Boundary Value Problems
This study presents a local meshless method based on radial basis functions for the numerical solution of the nonlinear time-fractional Burgers’ equation (TFBE) involving the fractional derivatives of Caputo (CFD) and Caputo–Fabrizio (CFFD).
S. Hajiollow, F. Zabihi
doaj   +1 more source

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  

On Riemann-Liouville integrals and Caputo Fractional derivatives via strongly modified (p, h)-convex functions. [PDF]

PLoS One
Nosheen A, Khan KA, Bukhari MH, Kahungu MK, Aljohani AF.   +4 more
europepmc   +1 more source

Fractional-order analysis of a fear-induced ecoepidemiological predator-prey model with optimal control and bifurcation dynamics. [PDF]

Sci Rep
Alomari FAH, Bahaa GM.
europepmc   +1 more source

A numerical framework for fractional and fractal-fractional analysis of the Pehlivan chaotic system using Caputo derivative. [PDF]

Sci Rep
Vinoth R, Jayalakshmi M.
europepmc   +1 more source

Analysis of delay differential equations with dual caputo-type fractional derivatives using laplace transform methods. [PDF]

Sci Rep
Boumaaza M, Boutiara A, Djidel O, Guefaifia R, Boulaaras S.   +4 more
europepmc   +1 more source

Hyers-Ulam stability of fractional linear differential equations involving Caputo fractional derivatives

, 2015
Chun Wang, T. Xu
semanticscholar   +1 more source

Modeling of fractional order DPG model insight global warming and pollution effect on desertification for control mechanism. [PDF]

Sci Rep
Farman M, Jamil K, Jamil S, Padder A, Ahmad H, Dehingia K, Bayram M.   +6 more
europepmc   +1 more source