Results 21 to 30 of about 1,318 (279)
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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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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Alexandria Engineering Journal, 2020 The present work implements the unified method to a class of fractional partial differential systems corresponding to modified fractional three wave interaction equations (FTWIEs).
Adeeb G. Talafha +4 more
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Derivative-Free Conformable Iterative Methods for Solving Nonlinear Equations [PDF]
, 2023 [EN] In this manuscript, we use approximations of conformable derivatives for designing iterative methods to solve nonlinear algebraic or trascendental equations.
María P. Vassileva +7 more
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Variational calculus with conformable fractional derivatives [PDF]
IEEE/CAA Journal of Automatica Sinica, 2017 This is a preprint of a paper whose final and definite form will appear in the IEEE/CAA Journal of Automatica Sinica, ISSN 2329-9266.
Matheus J. Lazo, Delfim F. M. Torres
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A Study on Existence and Controllability of Conformable Impulsive Equations
Axioms, 2023 We study the existence/uniqueness of conformable fractional type impulsive nonlinear systems as well as the controllability of linear/semilinear conformable fractional type impulsive controlled systems.
Nazim I. Mahmudov, Gülbahar Akgün
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Ulam’s stability for some linear conformable fractional differential equations
Advances in Difference Equations, 2020 In this paper, by introducing the concepts of Ulam type stability for ODEs into the equations involving conformable fractional derivative, we utilize the technique of conformable fractional Laplace transform to investigate the Ulam–Hyers and Ulam–Hyers ...
Sen Wang, Wei Jiang, Jiale Sheng, Rui Li
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Partial Differential Equations in Applied Mathematics, 2022 In this paper, the invariant subspace method (ISM) is developed to obtain the exact solution of linear and nonlinear time and space fractional mixed partial differential equations involving modified conformable fractional derivative (MCFD). Moreover, the
Chavda Divyesh Vinodbhai, Shruti Dubey
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Conformable fractional-order derivative based adaptive FitzHugh-Nagumo neuron model
, 2023 Various neuron models have been proposed and are extensively examined in the scientific literature. The FitzHugh-Nagumo neuron model is one of the most well-known and studied models.
Karakulak, Ertugrul, Ertuğrul Karakulak
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$\alpha$-Differentiable functions in complex plane
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2020 In this paper, the conformable fractional derivative of order $\alpha$ is defined in complex plane. Regarding to multi-valued function $z^{1-\alpha}$, we obtain fractional Cauchy–Riemann equations which in case of $\alpha=1$ give classical Cauchy ...
Ronak Pashaei +3 more
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