New properties of conformable derivative
New properties of conformable derivative Page 1 © 2015 Atangana et al., published by De
Gruyter Open. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivs …
Gruyter Open. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivs …
[图书][B] Discrete fractional calculus
C Goodrich, AC Peterson - 2015 - Springer
The continuous fractional calculus has a long history within the broad area of mathematical
analysis. Indeed, it is nearly as old as the familiar integer-order calculus. Since its inception …
analysis. Indeed, it is nearly as old as the familiar integer-order calculus. Since its inception …
Numerical analysis of a fractional-order chaotic system based on conformable fractional-order derivative
S He, K Sun, X Mei, B Yan, S Xu - The European Physical Journal Plus, 2017 - Springer
In this paper, the numerical solutions of conformable fractional-order linear and nonlinear
equations are obtained by employing the constructed conformable Adomian decomposition …
equations are obtained by employing the constructed conformable Adomian decomposition …
[HTML][HTML] Existence of solution to a local fractional nonlinear differential equation
B Bayour, DFM Torres - Journal of Computational and Applied Mathematics, 2017 - Elsevier
Existence of solution to a local fractional nonlinear differential equation - ScienceDirect Skip to
main contentSkip to article Elsevier logo Journals & Books Search RegisterSign in View PDF …
main contentSkip to article Elsevier logo Journals & Books Search RegisterSign in View PDF …
Variational calculus with conformable fractional derivatives
MJ Lazo, DFM Torres - IEEE/CAA Journal of automatica sinica, 2016 - ieeexplore.ieee.org
Invariant conditions for conformable fractional problems of the calculus of variations under
the presence of external forces in the dynamics are studied. Depending on the type of …
the presence of external forces in the dynamics are studied. Depending on the type of …
Existence theorems and Hyers-Ulam stability for a coupled system of fractional differential equations with p-Laplacian operator
In this paper, we study the existence and uniqueness of solution (EUS) as well as Hyers-
Ulam stability for a coupled system of FDEs in Caputo's sense with nonlinear p-Laplacian …
Ulam stability for a coupled system of FDEs in Caputo's sense with nonlinear p-Laplacian …
A remark on local fractional calculus and ordinary derivatives
In this short note we present a new general definition of local fractional derivative, that
depends on an unknown kernel. For some appropriate choices of the kernel we obtain some …
depends on an unknown kernel. For some appropriate choices of the kernel we obtain some …
New traveling wave exact and approximate solutions for the nonlinear Cahn–Allen equation: evolution of a nonconserved quantity
In the present article, we have developed the new exact and approximate solutions of a
nonlinear evolution equation that appear in mathematical physics, specifically Cahn–Allen …
nonlinear evolution equation that appear in mathematical physics, specifically Cahn–Allen …
The extremal solution to conformable fractional differential equations involving integral boundary condition
S Meng, Y Cui - Mathematics, 2019 - mdpi.com
In this article, by using the monotone iterative technique coupled with the method of upper
and lower solution, we obtain the existence of extremal iteration solutions to conformable …
and lower solution, we obtain the existence of extremal iteration solutions to conformable …
Existence and uniqueness theorems for sequential linear conformable fractional differential equations
A Gökdoğan, E Ünal, E Celik - arXiv preprint arXiv:1504.02016, 2015 - arxiv.org
Recently, a new fractional derivative called the conformable fractional derivative is given on
based basic limit definition derivative in [4]. Then, the fractional versions of chain rules …
based basic limit definition derivative in [4]. Then, the fractional versions of chain rules …