Results 41 to 50 of about 39,305 (332)
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
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Journal of Mathematics, 2020 In this paper, the authors consider a IBVP for the time-space fractional PDE with the fractional conformable derivative and the fractional Laplace operator. A fractional conformable extremum principle is presented and proved.
Tingting Guan, Guotao Wang
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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
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AIMS Mathematics, 2023 In this paper, we study a boundary value problem for the hybrid fractional integro-differential system involving the conformable fractional derivative. We first discuss the existence of solutions using the Krasnoselskii fixed point theorem.
Ala Taier, R. Wu, Naveed Iqbal
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Journal of Taibah University for Science, 2023 This paper reveals the conformable fractional space-time perturbed Gerdjikov-Ivanov (GI) equation, which is applied to nonlinear fibre optics together with photonic crystal fibres.
Qinglian Yin, Ben Gao, Zhang Shi
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Results in Physics, 2023 In this paper, the generalized (3+1)-dimensional nonlinear Sasa–Satsuma model with conformable fractional derivative using the new Kudryashov approach is considered to find a class of novel exact solutions in optical fibers.
Muhammad Amin S. Murad +4 more
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Journal of Applied Analysis & ComputationWeijun He, Weiguo Rui, Xiaochun Hong
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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 AbstractIn 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) and conformable residual power series method (CRP). Furthermore, the proposed methods express
Malik, Adyan M., Mohammed, Osama H.
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Fractional calculus in data fitting
Alexandria Engineering Journal, 2020 This paper investigates the role of fractional calculus in data fitting. We show that while the Caputo and Atangana-Baleanu fractional derivatives can be applied successfully in data fitting, this might not be true for the conformable derivative.
N.H. Can, H. Jafari, M.N. Ncube
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Effective Approach to Construct Series Solutions for Uncertain Fractional Differential Equations
Fuzzy Information and Engineering, 2022 Purpose: We construct the analytical approximate resiual power fuzzy series solutions of fuzzy conformable fractional differential equations in an [Formula: see text]-level depiction in the sense of strongly generalized [Formula: see text]-fuzzy ...
Zeyad Al-Zhour +5 more
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