Application of two different algorithms to the approximate long water wave equation with conformable fractional derivative [PDF]
Arab Journal of Basic and Applied Sciences, 2018 The current paper devoted on two different methods to find the exact solutions with various forms including hyperbolic, trigonometric, rational and exponential functions of fractional differential equations systems with conformable farctional derivative.
Melike Kaplan, Arzu Akbulut
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Generalized Hukuhara Conformable Fractional Derivative and its Application to Fuzzy Fractional Partial DifferentialEquations [PDF]
Soft Computing, 2021 Abstract The main focus of this paper is to develop an efficient analytical method to obtain the traveling wave fuzzy solution for the fuzzy generalized Hukuhara conformable fractional equations by considering the type of generalized Hukuhara conformable fractional differentiability of the solution.
Manizheh Ghaffari +3 more
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Two efficient methods for solving fractional Lane–Emden equations with conformable fractional derivative [PDF]
Journal of the Egyptian Mathematical Society, 2020 In this paper, we introduce two reliable efficient approximate methods for solving a class of fractional Lane–Emden equations with conformable fractional derivative (CL-M) which are the so-called conformable Homotopy–Adomian decomposition method (CH-A ...
Adyan M. Malik, Osama H. Mohammed
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Conformable Derivatives in Laplace Equation and Fractional Fourier Series Solution
International Annals of Science, 2019 In this paper the solution of conformable Laplace equation, \frac{\partial^{\alpha}u(x,y)}{\partial x^{\alpha}}+ \frac{\partial^{\alpha}u(x,y)}{\partial y^{\alpha}}=0, where 1 < α ≤ 2 has been deduced by using fractional fourier series and separation of variables method. For special cases α =2 (Laplace's equation), α=1.9, and α=1.8 conformable
Ronak Pashaei +2 more
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Oscillation of differential equations in the frame of nonlocal fractional derivatives generated by conformable derivatives [PDF]
Advances in Difference Equations, 2018 Abstract Recently, Jarad et al. in (Adv. Differ. Equ. 2017:247, 2017) defined a new class of nonlocal generalized fractional derivatives, called conformable fractional derivatives (CFDs), based on conformable derivatives. In this paper, sufficient conditions are established for the oscillation of solutions of generalized fractional differential ...
Bahaaeldin Abdalla
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Some Classical Properties of the New Conformable Fractional Derivative [PDF]
, 2022 Some research works dealing with fractional derivatives inspired us to work on this paper. In this paper, we prove some useful results using the definition of new Conformable Fractional Derivative given inAhmed Kajouni, Ahmed Chafiki, Khalid Hilal, and Mohamed Oukessou[7].
Nehaa, Dr. Anita Dahiya
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Exact solutions of fractional partial differential equation systems with conformable derivative
Filomat, 2019 Main goal of this paper is to have the new exact solutions of some fractional partial differential equation systems (FPDES) in conformable sense. The definition of conformable fractional derivative (CFD) is similar to the limit based definition of known derivative.
Özkan, O., Kurt, Ali
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THE NEW SOLUTION OF TIME FRACTIONAL WAVE EQUATION WITH CONFORMABLE FRACTIONAL DERIVATIVE DEFINITION
Journal of New Theory, 2015 – In this paper, we used new fractional derivative definition, the conformable fractional derivative, for solving two and three dimensional time fractional wave equation. This definition is simple and very effective in the solution procedures of the fractional differential equations that have complicated solutions with classical fractional derivative ...
ÇENESİZ, Yücel, KURT, Ali
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A New conformable fractional derivative and applications
Selecciones Matemáticas, 2022 Vuk Stojiljković
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