Analytic solutions of the time-fractional Boiti-Leon-Manna-Pempinelli equation via novel transformation technique. [PDF]
Yasmeen B +3 more
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Bifurcation analysis and novel wave patterns to Zakharov-Kuznetsov-Benjamin-Bona-Mahony equation with truncated M-fractional derivative. [PDF]
Ahmad J, Masood K, Ayub F, Shah NA.
europepmc +1 more source
Improved modelling for vibrational energies of diatomic molecules using the generalized fractional derivative. [PDF]
Khokha EM +3 more
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Solitary and soliton solutions of the nonlinear fractional Chen Lee Liu model with beta derivative. [PDF]
Hussain A +5 more
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Advanced fractional soliton solutions of the Joseph-Egri equation via Tanh-Coth and Jacobi function methods. [PDF]
Shakeel K +6 more
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Conformable fractional derivative in commutative algebras
Journal of Mathematical Sciences, 2023In this paper, an analog of the conformable fractional derivative is defined in an arbitrary finite-dimensional commutative associative algebra. Functions taking values in the indicated algebras and having derivatives in the sense of a conformable fractional derivative are called $\varphi$% -monogenic.
Vitalii Shpakivskyi
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Electrical circuits described by fractional conformable derivative
International Journal of Circuit Theory and Applications, 2018SummaryIn the last 3 years, the fractional conformable derivative and its properties have been introduced. Unlike other definitions, this new fractional derivative is based on the basic limit definition of the derivative and satisfies the same formulas of derivation, such as product and quotient of 2 functions and the chain rule.
Juan Rosales
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Exponential stability of Hopfield neural networks with conformable fractional derivative
Neurocomputing, 2021Abstract A class of Hopfield neural networks with conformable fractional derivative is studied. Sufficient conditions are derived for the existence and uniqueness of the equilibrium point of the network. Moreover, by using a Lyapunov function exponential stability result is proved.
Aysen Kütahyalioglu, Fatma Karakoç
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Stability of a fractional advection–diffusion system with conformable derivative
Chaos, Solitons and Fractals, 2022Abdellatif Ben Makhlouf +2 more
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Dynamical behaviour of fractional order tumor model with Caputo and conformable fractional derivative [PDF]
In this paper, tumor-immune system interaction has been considered by two fractional order models. The first and the second model consist of system of fractional order differential equations with Caputo and conformable fractional derivative respectively.
Ercan Balcı, Senol Kartal
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