Results 31 to 40 of about 39,305 (332)
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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$\alpha$-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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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
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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
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Cobweb model with conformable fractional derivatives
Mathematical Methods in the Applied Sciences, 2018 In this paper, the cobweb model is reformulated in terms of fractional‐order derivatives. In particular, we describe linear cobweb models in continuous time by using conformable fractional‐order derivatives. Then, the general solutions as well as stability criteria for the proposed models are given.
Martin Bohner, Veysel Fuat Hatipoğlu
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Journal of Ocean Engineering and Science, 2019 In this paper, the (G′/G)-expansion method has been applied to explore new solitary wave solutions for the time fractional generalized Hirota-Satsuma coupled KdV (FGHSC KdV) system.
Hadi Rezazadeh +3 more
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Mathematical Modeling of Coronavirus Dynamics with Conformable Derivative in Liouville–Caputo Sense
Journal of Mathematics, 2022 Coronavirus has become a serious global phenomenon in recent times and has negative effects on the entire world economy. In this study, a fractional mathematical model formulated in fractional conformable derivative is studied.
Ebenezer Bonyah +2 more
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Conformable Fractional Derivative Based Exact Solutions of Some Fractional Differential Equations
SSRN Electronic Journal, 2018 Mohammad Al-Khaleel
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Dynamic cobweb models with conformable fractional derivatives
Nonlinear Analysis: Hybrid Systems, 2019 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Martin Bohner, Veysel Fuat Hatipoğlu
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