Results 81 to 90 of about 615,518 (166)

Separated Boundary Value Problems of Sequential Caputo and Hadamard Fractional Differential Equations

, 2018
In this paper, we discuss the existence and uniqueness of solutions for new classes of separated boundary value problems of Caputo-Hadamard and Hadamard-Caputo sequential fractional differential equations by using standard fixed point theorems.
Jessada Tariboon, Woraphak Nithiarayaphaks, Sotiris K. Ntouyas, Asawathep Cuntavepanit   +3 more
core   +1 more source

Analysis of boundary value problem with multi-point conditions involving Caputo-Hadamard fractional derivative

, 2020
We study the boundary value problems (BVPs) of the Caputo-Hadamard type fractional differential equations (FDEs) supplemented by multi-point conditions.
Muthaiah, Subramanian, Gopal, Thangaraj Nandha   +1 more
core   +1 more source

On Some Impulsive Fractional Integro-Differential Equation with Anti-Periodic Conditions

Fractal and Fractional
We investigate a class of boundary value problems (BVPs) involving an impulsive fractional integro-differential equation (IF-IDE) with the Caputo–Hadamard fractional derivative (C-HFD). We employ some fixed-point theorems (FPTs) to study the existence of
Ymnah Alruwaily, Kuppusamy Venkatachalam, El-sayed El-hady   +2 more
doaj   +1 more source

On Extended Caputo Fractional Derivative Operator

, 2017
The main objective of this present paper is to introduce further extension of extended Caputo fractional derivative operator and establish the extension of an extended fractional derivative of some known elementary functions.
Gauhar Rahman, Muhammad Arshad, Kottakkaran Sooppy Nisar   +2 more
core   +1 more source

A Discretization of the Hadamard fractional derivative [PDF]

, 2016
We present a new discretization for the Hadamard fractional derivative, that simplifies the computations. We then apply the method to solve a fractional differential equation and a fractional variational problem with dependence on the Hadamard ...
Bastos, Nuno, Almeida, Ricardo
core   +1 more source

Unexpected behavior of Caputo fractional derivative

, 2017
Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Processo FAPESP: 2013/08133-0This paper discusses the modeling via mathematical methods based on fractional calculus, using ...
de Figueiredo Camargo, Rubens [UNESP], de Arruda Mancera, Paulo Fernando [UNESP], Kuroda, Lucas Kenjy Bazaglia [UNESP], de Arruda Mancera, Paulo Fernando, Tavoni, Robinson, Varalta, Najla, Tavoni, Robinson [UNESP], Gomes, Arianne Vellasco, Kuroda, Lucas Kenjy Bazaglia, Gomes, Arianne Vellasco [UNESP], Varalta, Najla [UNESP], de Figueiredo Camargo, Rubens   +11 more
core   +1 more source

Incomplete Caputo fractional derivative operators

, 2018
The main aim of this paper is to give the definitions of Caputo fractional derivative operators and show their use in the special function theory. For this purpose, we introduce new types of incomplete hypergeometric functions and obtain their integral ...
Mehmet Ali Özarslan, Ceren Ustaoglu, Ustaoglu, Ceren, Ozarslan, Mehmet Ali   +3 more
core   +1 more source

Caputo-Type Modification of the Erdélyi-Kober Fractional Derivative [PDF]

, 2007
The Caputo fractional derivative is one of the most used definitions of a fractional derivative along with the Riemann-Liouville and the Grünwald- Letnikov ones.
Luchko, Yury, Trujillo, Juan
core   +1 more source

Two regularization methods for identifying the initial value of Caputo–Hadamard time-fractional diffusion equation

Mathematical Modelling and Analysis
In this paper, the inverse problem of identifying the unknown initial value for time fractional diffusion equation with Caputo-Hadamard derivative is considered. This problem is illposed and two regularization methods are used to solve it.
Ruo-Hong Li, Ying Cao, Fan Yang, Xiao-Xiao Li   +3 more
doaj   +1 more source

Numerical solution of coupled fractional Ginzburg–Landau equations under Caputo–Hadamard derivative

Results in Physics
This paper introduces a high-performance spectral collocation method for solving coupled fractional Ginzburg–Landau equations involving the Caputo–Hadamard (CH) derivative. The numerical scheme employees two families of shifted Chebyshev polynomials (CPs)
F. Rostami, M.H. Heydari, M. Bayram, D. Baleanu   +3 more
doaj   +1 more source