Results 11 to 20 of about 1,318 (279)
A modification to the conformable fractional calculus with some applications
Alexandria Engineering Journal, 2020 In the conformable fractional calculus, TαTβ≠TβTα and IαIβ≠IβIα, where Tα and Iα are conformable fractional differential and integral operators, respectively. Also, Tβ≠Tnα and Iβ≠Inα, where β=nα for some n∈N.
Ahmad El-Ajou
doaj +2 more sources
Advances in Difference Equations, 2018 In this paper, we investigate oscillatory and asymptotic properties for a class of fractional order dynamic equations on time scales, where the fractional derivative is defined in the sense of the conformable fractional derivative.
Qinghua Feng, Fanwei Meng
doaj +2 more sources
On Conformable, Riemann-Liouville, and Caputo fractional derivatives
Bulletin of Applied Mathematics and Mathematics Education, 2022 This article compares conformable fractional Derivative with Riemann-Liouville and Caputo fractional derivative by comparing solutions to fractional ordinary differential equations involving the three fractional derivatives via the numerical simulations of the solutions.
Bambang Hendriya Guswanto +2 more
openaire +3 more sources
Solutions of Conformable Fractional-Order SIR Epidemic Model
International Journal of Differential Equations, 2021 In this paper, the conformable fractional-order SIR epidemic model are solved by means of an analytic technique for nonlinear problems, namely, the conformable fractional differential transformation method (CFDTM) and variational iteration method (VIM ...
Atimad Harir +2 more
doaj +2 more sources
Journal of Scientific Research, 2023 This paper presents a method for solving non-homogeneous linear sequential fractional differential equations (NHLSFDEs) with constant coefficients involving conformable fractional derivatives. For this purpose, the fundamental properties of the conformable derivative and fractional exponential functions are discussed.
ANUJ TYAGI, Jyotsna Chandel
openaire +3 more sources
Newton’s law of cooling with fractional conformable derivative
Revista Mexicana de Física, 2018 The fractional conformable derivative and its properties have been introduced recently. Using this derivative we obtain a new class of smooth solutions for the Newton’s law of cooling in terms of a stretched exponential function depending on the fractional order parameter 0 < γ ≤ 1.
Abraham Ortega, J. Juan Rosales
openaire +2 more sources
Annals of the West University of Timisoara: Mathematics and Computer Science, 2017 In this paper, generalized Hirota Satsuma coupled KdV system is solved with tanh method and q-Homotopy analysis method. New fractional derivative definition called “conformable fractional derivative” used in the solution procedure.
Çenesiz Yucel, Kurt Ali, Tasbozan Orkun
doaj +3 more sources
Comparative study of two techniques on some nonlinear problems based ussing conformable derivative
Nonlinear Engineering, 2020 In this paper, three eminent types of time-fractional nonlinear partial differential equations are considered, which are the fractional foam drainage equation, fractional Gardner equation, and fractional Fornberg–Whitham equation in the sense of ...
Zulfiqar Aniqa, Ahmad Jamshad
doaj +2 more sources
New theoretical results and applications on conformable fractional Natural transform
Ain Shams Engineering Journal, 2021 In this paper, we proceed on to develop the classical Natural transform to fractional order in the sense of conformable derivative and set the basic concepts in this new interesting fractional transform version.
Zeyad Al-Zhour +3 more
doaj +2 more sources
On continuity properties of the improved conformable fractional derivatives
Jurnal Fourier, 2022 The conformable fractional derivative has been introduced to extend the familiar limit definition of the classical derivative. Despite having many advantages compared to other fractional derivatives such as satisfying nice properties as classical derivative and easy to solve numerically, it also has disadvantages as it gives large error compared to ...
Hasanah, Dahliatul
openaire +2 more sources