Results 31 to 40 of about 47,231 (266)

Numerical Solutions of Variable-Coefficient Fractional-in-Space KdV Equation with the Caputo Fractional Derivative

Fractal and Fractional, 2022
In this paper, numerical solutions of the variable-coefficient Korteweg-De Vries (vcKdV) equation with space described by the Caputo fractional derivative operator is developed.
Han Che, Yulan Wang
semanticscholar   +1 more source

On Caputo Fractional Derivatives via Convexity [PDF]

Kragujevac Journal of Mathematics, 2020
Summary: In this paper some estimations of Caputo fractional derivatives via convexity have been presented. By using convexity of any positive integer order differentiable function some novel results are given.
openaire   +2 more sources

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
doaj   +1 more source

Fast evaluation of the Caputo fractional derivative and its applications to fractional diffusion equations [PDF]

, 2015
We present an efficient algorithm for the evaluation of the Caputo fractional derivative $_0^C\!D_t^\alpha f(t)$ of order $\alpha\in (0,1)$, which can be expressed as a convolution of $f'(t)$ with the kernel $t^{-\alpha}$.
Shidong Jiang, Jiwei Zhang, Qian Zhang, Zhimin Zhang   +3 more
semanticscholar   +1 more source

A fractional differential equation with multi-point strip boundary condition involving the Caputo fractional derivative and its Hyers–Ulam stability

Boundary Value Problems, 2021
In this work, we investigate the existence, uniqueness, and stability of fractional differential equation with multi-point integral boundary conditions involving the Caputo fractional derivative.
Mehboob Alam, A. Zada, I. Popa, Alireza Kheiryan, S. Rezapour, Mohammed K. A. Kaabar   +5 more
semanticscholar   +1 more source

Laplace Variational Iteration Method for Modified Fractional Derivatives with Non-singular Kernel [PDF]

Journal of Applied and Computational Mechanics, 2020
A universal approach by Laplace transform to the variational iteration method for fractional derivatives with the nonsingular kernel is presented; in particular, the Caputo-Fabrizio fractional derivative and the Atangana-Baleanu fractional derivative ...
Huitzilín Yépez-Martínez, José Francisco Gómez-Aguilar   +1 more
doaj   +1 more source

On the Existence and Uniqueness Results for Fuzzy Linear and Semilinear Fractional Evolution Equations Involving Caputo Fractional Derivative

Journal of Function Spaces, 2021
In this manuscript, we establish new existence and uniqueness results for fuzzy linear and semilinear fractional evolution equations involving Caputo fractional derivative.
Ali El mfadel, S. Melliani, M. Elomari
semanticscholar   +1 more source

On the formulation of Adams-Bashforth scheme with Atangana-Baleanu-Caputo fractional derivative to model chaotic problems. [PDF]

Chaos, 2019
Mathematical analysis with the numerical simulation of the newly formulated fractional version of the Adams-Bashforth method using the Atangana-Baleanu operator which has both nonlocal and nonsingular properties is considered in this paper.
K. Owolabi, A. Atangana
semanticscholar   +1 more source

Comparison of third-order fractional partial differential equation based on the fractional operators using the explicit finite difference method

Alexandria Engineering Journal, 2023
In this research paper, the third-order fractional partial differential equation (FPDE) in the sense of the Caputo fractional derivative and the Atangana-Baleanu Caputo (ABC) fractional derivative is investigated for the first time. The importance of the
Shorish Omer Abdulla, Sadeq Taha Abdulazeez, Mahmut Modanli   +2 more
doaj   +1 more source

Abstract differential equations and Caputo fractional derivative

Semigroup Forum, 2022
In this work I consider the abstract Cauchy problems with Caputo fractional time derivative of order $ \in(0,1]$, and discuss the continuity of the respective solutions regarding the parameter $ $. I also present a study about the continuity of the Mittag-Leffler families of operators (for $ \in(0,1]$), induced by sectorial operators.
openaire   +3 more sources