Results 1 to 10 of about 498,408 (222)

Laplace Operator with Caputo-Type Marichev–Saigo–Maeda Fractional Differential Operator of Extended Mittag-Leffler Function

Discrete Dynamics in Nature and Society, 2021
In this paper, the Laplace operator is used with Caputo-Type Marichev–Saigo–Maeda (MSM) fractional differentiation of the extended Mittag-Leffler function in terms of the Laplace function.
Adnan Khan, Tayyaba Manzoor, Hafte Amsalu Kahsay, Kahsay Godifey Wubneh   +3 more
doaj   +2 more sources

Beta Operator with Caputo Marichev-Saigo-Maeda Fractional Differential Operator of Extended Mittag-Leffler Function

Advances in Mathematical Physics, 2021
In this paper, a beta operator is used with Caputo Marichev-Saigo-Maeda (MSM) fractional differentiation of extended Mittag-Leffler function in terms of beta function.
Tayyaba Manzoor, Adnan Khan, Kahsay Godifey Wubneh, Hafte Amsalu Kahsay   +3 more
doaj   +2 more sources

A numerical study of dengue internal transmission model with fractional piecewise derivative

Results in Physics, 2022
The goal of this paper is to study the dynamics of the dengue internal transmission model using a novel piecewise derivative approach in the sense of singular and non-singular kernels.
Shabir Ahmad, Mansour F. Yassen, Mohammad Mahtab Alam, Soliman Alkhati, Fahd Jarad, Muhammad Bilal Riaz   +5 more
doaj   +1 more source

Extended Caputo k-type fractional derivative operator and its properties

Partial Differential Equations in Applied Mathematics
In this paper, we present some extensions of the k-hypergeometric functions and then develop the extended Caputo k-type fractional derivative operator by using two parameters k-Mittag–Leffler function.
Parik Laxmi, Shilpi Jain, Praveen Agarwal   +2 more
doaj   +1 more source

Fundamental Results about the Fractional Integro-Differential Equation Described with Caputo Derivative

Journal of Function Spaces, 2022
In this paper, we study the existence and uniqueness of the mild solution of the fractional integro-differential with the nonlocal initial condition described by the Caputo fractional operator.
Ndolane Sene
doaj   +1 more source

Semilinear Fractional Evolution Inclusion Problem in the Frame of a Generalized Caputo Operator

Journal of Function Spaces, 2021
In this paper, we study the existence of solutions to initial value problems for a nonlinear generalized Caputo fractional differential inclusion with Lipschitz set-valued functions.
Adel Lachouri, Abdelouaheb Ardjouni, Fahd Jarad, Mohammed S. Abdo   +3 more
doaj   +1 more source

An anomalous diffusion model based on a new general fractional operator with the Mittag-Leffler function of Wiman type

Advances in Difference Equations, 2018
In this article, an anomalous diffusion model via a new Liouville-Caputo general fractional operator with the Mittag-Leffler function of Wiman type is investigated for the first time.
Xin Liang, Feng Gao, Chun-Bo Zhou, Zhen Wang, Xiao-Jun Yang   +4 more
doaj   +1 more source

Analysis of dengue model with fractal-fractional Caputo–Fabrizio operator

Advances in Difference Equations, 2020
In this work, we study the dengue dynamics with fractal-factional Caputo–Fabrizio operator. We employ real statistical data of dengue infection cases of East Java, Indonesia, from 2018 and parameterize the dengue model.
Fatmawati, Muhammad Altaf Khan, Cicik Alfiniyah, Ebraheem Alzahrani   +3 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

On Delta and Nabla Caputo Fractional Differences and Dual Identities

Discrete Dynamics in Nature and Society, 2013
We investigate two types of dual identities for Caputo fractional differences. The first type relates nabla and delta type fractional sums and differences.
Thabet Abdeljawad
doaj   +1 more source