Results 51 to 60 of about 37,668 (284)
Applicability of time conformable derivative to Wick-fractional-stochastic PDEs
Alexandria Engineering Journal, 2020 Fractional-stochastic quadratic-cubic nonlinear Schrödinger equation (QC-NLSE) describing propagation of solitons through optical fibers is analyzed. Hermite transforms, white noise analysis and an improved computational method are used to investigate uncertain solutions for QC-NLSE. Specifically, Hermite transformation is applied to convert fractional-
Körpınar, Zeliha +5 more
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On Solving Comfortable Fractional Differential Equations [PDF]
, 2017 This paper adopts the relationship between conformable fractional derivative and the classical derivative. By using this relation, the comfortable fractional differential equation can transform to a classical differential equation such that the solution ...
Khudair, Widad Raisan
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Ain Shams Engineering Journal, 2021 In this paper, the perturbed and unperturbed fractional regularized long wave (FRLW) equation is taken into consideration by using analytical and numerical approaches. For the unperturbed considered model diverse solitonic structures are measured using two finest approaches which are extended (G′G2)-expansion method and the direct algebraic method ...
Adil Jhangeer +3 more
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AIMS Mathematics, 2022 In this paper, we investigate the existence of mild solutions for nonlocal delay fractional Cauchy problem with Caputo conformable derivative in Banach spaces. We establish a representation of a mild solution using a fractional Laplace transform.
Lahcene Rabhi +2 more
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Derivada Conformable de Khalil y sus aplicaciones a modelos de crecimiento poblacional y enfriamiento de los cuerpos [PDF]
, 2022 The objective of this article is to develop some results on conformable fractional derivatives, specifically the one known as Khalil’s conformable fractional derivative.
Villacís Lascano, Jaime David +1 more
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Fractal and FractionalNonlinear fractional-order differential equations have an important role in various branches of applied science and fractional engineering. This research paper shows the practical application of three such fractional mathematical models, which are the ...
Md Ashik Iqbal +3 more
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Solution of Conformable Fractional Ordinary Differential Equations via Differential Transform Method
, 2016 Recently, a new fractional derivative called the conformable fractional derivative is given which is based on the basic limit definition of the derivative in [1]. Then, the fractional versions of chain rules, exponential functions, Gronwall's inequality,
Emrahünal, Gökdoğan, Ahmet
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Opial type inequalities for conformable fractional derivative and integral of two functions [PDF]
, 2017 In this paper, we establish the Opial type inequalities for conformable fractional derivative and integral of two function and give some results in special cases of ...
Han, Xu, Li, Qiaoluan, Li, Sha
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Fractional Newton mechanics with conformable fractional derivative
Journal of Computational and Applied Mathematics, 2015 In this paper we use the conformable fractional derivative and integral to discuss the fractional Newtonian mechanics. The fractional version of the calculus of variations is introduced and the fractional Euler-Lagrange equation is constructed. Some mechanical problems such as fractional harmonic oscillator problem, the fractional damped oscillator ...
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International Journal of Mathematics and Mathematical Sciences, 2020 In this paper, we establish a set of convenient conditions of controllability for semilinear fractional finite dimensional control systems involving conformable fractional derivative.
Maher Jneid, Muath Awadalla
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