Results 21 to 30 of about 377,360 (199)
The Allen-Cahn equation with a time Caputo-Hadamard derivative: Mathematical and Numerical Analysis
Communications in Analysis and Mechanics, 2023 <abstract><p>In this paper, we investigate the local discontinuous Galerkin (LDG) finite element method for the fractional Allen-Cahn equation with Caputo-Hadamard derivative in the time domain. First, the regularity of the solution is analyzed, and the results indicate that the solution of this equation generally possesses initial weak ...
Zhen Wang, Luhan Sun
openaire +3 more sources
A comprehensive review of the Hermite-Hadamard inequality pertaining to fractional differential operators [PDF]
Surveys in Mathematics and its Applications, 2023 A review on Hermite-Hadamard type inequalities connected with a different classes of convexities and fractional differential operators is presented. In the various classes of convexities it includes, classical convex functions, quasi-convex functions, p ...
Muhammad Tariq +3 more
doaj
Fractional variational problems with the Riesz-Caputo derivative [PDF]
, 2012 In this paper we investigate optimality conditions for fractional variational problems, with a Lagrangian depending on the Riesz-Caputo derivative. First we prove a generalized Euler-Lagrange equation for the case when the interval of integration of the ...
Almeida, R. +2 more
core +1 more source
Solvability for a Differential System of Duffing Type Via Caputo-Hadamard Approach [PDF]
, 2022 In this work, we investigate a new sequential coupled differential system of Duffing type. The considered system involves Caputo Hadamard derivatives. Based on both Banach contraction principle and Scheafer fixed point theorems, we establish two results ...
DAHMANI, Zoubir +3 more
core +1 more source
Fractional variational problems depending on indefinite integrals [PDF]
, 2012 We obtain necessary optimality conditions for variational problems with a Lagrangian depending on a Caputo fractional derivative, a fractional and an indefinite integral.
Pooseh, Shakoor +8 more
core +1 more source
Stability analysis of solutions and existence theory of fractional Lagevin equation
Alexandria Engineering Journal, 2021 The present article describes fractional Langevin equations (FDEs) invloving Caputo Hadamard-derivative of independent orders connected with non-local integral and non-periodic boundary conditions.
Amita Devi +3 more
doaj +1 more source
Hermite-Hadamard-type Inequalities for Increasing Convex-along-rays Functions [PDF]
, 2001 Some inequalities of Hermite-Hadamard type for increasing convexalong-rays functions are given. Examples for particular domains including triangles, squares, and the part of the unit disk in the first quadrant are also ...
Dragomir, Sever S +2 more
core +5 more sources
On a Caputo-type fractional derivative
, 2019 In this paper, we present a new differential operator of arbitrary order defined by means of a Caputo-type modification of the generalized fractional derivative recently proposed by Katugampola.
Daniela S. Oliveira +1 more
core +2 more sources
On impulsive partial differential equations with Caputo-Hadamard fractional derivatives [PDF]
Advances in Difference Equations, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +2 more sources
Journal of Advanced Engineering and Computation, 2020 In this paper, the existence of extremal solutions of Caputo-Hadamard-type fractional differential equations (CHFDEs) with order $\alpha \in (1,2)$ is established by employing the method of lower and upper solutions. Moreover, sufficient condition that ensures the stability of a class of CHFDE is also provided. Some examples are given to illustrate our
Donal O'Regan, Ngo Van Hoa
openaire +2 more sources