Results 11 to 20 of about 602,498 (123)

Differential equations with tempered Ψ-Caputo fractional derivative [PDF]

Mathematical Modelling and Analysis, 2021
In this paper we define a new type of the fractional derivative, which we call tempered Ψ−Caputo fractional derivative. It is a generalization of the tempered Caputo fractional derivative and of the Ψ−Caputo fractional derivative.
Milan Medveď, Eva Brestovanská
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Caputo Fractional Derivative Hadamard Inequalities for Strongly m-Convex Functions

Journal of Function Spaces, 2021
In this paper, two versions of the Hadamard inequality are obtained by using Caputo fractional derivatives and strongly m-convex functions. The established results will provide refinements of well-known Caputo fractional derivative Hadamard inequalities ...
Xue Feng, Baolin Feng, Ghulam Farid, Sidra Bibi, Qi Xiaoyan, Ze Wu   +5 more
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Dynamical Analysis of Generalized Tumor Model with Caputo Fractional-Order Derivative

Fractal and Fractional, 2023
In this study, we perform a dynamical analysis of a generalized tumor model using the Caputo fractional-order derivative. Tumor growth models are widely used in biomedical research to understand the dynamics of tumor development and to evaluate potential
Ausif Padder, Laila Almutairi, Sania Qureshi, Amanullah Soomro, Afroz Afroz, Evren Hincal, Asifa Tassaddiq   +6 more
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The general Caputo–Katugampola fractional derivative and numerical approach for solving the fractional differential equations

Alexandria Engineering Journal
In this manuscript, we present the general fractional derivative (FD) along with its fractional integral (FI), specifically the ψ-Caputo–Katugampola fractional derivative (ψ-CKFD).
Lakhlifa Sadek, Sahar Ahmed ldris, Fahd Jarad   +2 more
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Incomplete Caputo fractional derivative operators

Advances in Difference Equations, 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
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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
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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
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An analytical solution for the Caputo type generalized fractional evolution equation

Alexandria Engineering Journal, 2022
The Caputo type generalized fractional evolution equation is studied in this paper. Since the Caputo type generalized fractional derivative is well-known for being the generalization of Caputo fractional derivatives, this article’s studies contribute to ...
Wannika Sawangtong, Panumart Sawangtong
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Numerical solutions of fractional optimal control with Caputo–Katugampola derivative

Advances in Difference Equations, 2021
In this paper, we present a numerical technique for solving fractional optimal control problems with a fractional derivative called Caputo–Katugampola derivative. This derivative is a generalization of the Caputo fractional derivative.
N. H. Sweilam, A. M. Nagy, T. M. Al-Ajami   +2 more
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Generalized Proportional Caputo Fractional Differential Equations with Noninstantaneous Impulses: Concepts, Integral Representations, and Ulam-Type Stability

Mathematics, 2022
The generalized proportional Caputo fractional derivative is a comparatively new type of derivative that is a generalization of the classical Caputo fractional derivative, and it gives more opportunities to adequately model complex phenomena in physics ...
Ravi Agarwal, Snezhana Hristova, Donal O’Regan   +2 more
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