Results 31 to 40 of about 12,535 (181)
International Journal of Differential Equations, 2021 In this paper, a class of fractional order differential equation expressed with Atangana–Baleanu Caputo derivative with nonlinear term is discussed.
Meryeme Hassouna +2 more
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Fractional variational principles with delay within caputo derivatives
Reports on Mathematical Physics, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jarad, Fahd +2 more
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Caputo derivatives of fractional variable order: Numerical approximations [PDF]
Communications in Nonlinear Science and Numerical Simulation, 2016 This is a preprint of a paper whose final and definite form is in Communications in Nonlinear Science and Numerical Simulation, ISSN: 1007-5704.
Tavares, Dina +2 more
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A Nonlinear Implicit Fractional Equation with Caputo Derivative [PDF]
Journal of Mathematics, 2021 In this paper, we study a nonlinear implicit differential equation with initial conditions. The considered problem involves the fractional Caputo derivatives under some conditions on the order. We prove an existence and uniqueness analytic result by application of Banach principle.
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Journal of Nigerian Society of Physical Sciences, 2023 Visceral leishmaniosis is one recent example of a global illness that demands our best efforts at understanding. Thus, mathematical modeling may be utilized to learn more about and make better epidemic forecasts.
Dalal Khalid Almutairi +5 more
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Fractional Herglotz variational principles with generalized Caputo derivatives [PDF]
Chaos, Solitons & Fractals, 2017 We obtain Euler-Lagrange equations, transversality conditions and a Noether-like theorem for Herglotz-type variational problems with Lagrangians depending on generalized fractional derivatives. As an application, we consider a damped harmonic oscillator with time-depending mass and elasticity, and arbitrary memory effects.
Garra R., Taverna G. S., Torres D. F. M.
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On the fractional derivatives at extrema points [PDF]
, 2012 We correct a recent result concerning the fractional derivative at extrema points. We then establish new results for the Caputo and Riemann-Liouville fractional derivatives at extrema ...
Al-Refai, Mohammed
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Fractal and Fractional, 2022 A nonlocal boundary value problem for a couple of two scalar nonlinear differential equations with several generalized proportional Caputo fractional derivatives and a delay is studied.
Ravi P. Agarwal, Snezhana Hristova
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Fractional boundary value problem with $$\varvec{\psi }$$-Caputo fractional derivative
Proceedings - Mathematical Sciences, 2019 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mohammed S Abdo +2 more
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Caputo-type modification of the Hadamard fractional derivatives [PDF]
Advances in Difference Equations, 2012 Abstract Generalization of fractional differential operators was subjected to an intense debate in the last few years in order to contribute to a deep understanding of the behavior of complex systems with memory effect. In this article, a Caputo-type modification of Hadamard fractional derivatives is introduced. The properties of the modified
Fahd Jarad +2 more
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