Results 261 to 270 of about 760,461 (313)

Fractional Differential Equations in Electrochemistry

Civil-Comp Proceedings, 2009
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On Caputo–Hadamard fractional differential equations

International Journal of Computational Mathematics, 2019
In this paper, the existence and uniqueness of solution to Caputo–Hadamard fractional differential equation (FDE) are studied. The continuation theorem is established too.
Madiha Gohar, Changpin Li, Chuntao Yin
semanticscholar   +1 more source

Novel numerical method for solving variable-order fractional differential equations with power, exponential and Mittag-Leffler laws

Chaos, Solitons & Fractals, 2018
Variable-order differential operators can be employed as a powerful tool to modeling nonlinear fractional differential equations and chaotical systems. In this paper, we propose a new generalize numerical schemes for simulating variable-order fractional ...
J. E. Solis-Perez, J. F. Gómez‐Aguilar, A. Atangana   +2 more
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An improved composite collocation method for distributed-order fractional differential equations based on fractional Chelyshkov wavelets

Applied Numerical Mathematics, 2019
In this paper, we introduce a new family of fractional functions based on Chelyshkov wavelets for solving one- and two-variable distributed-order fractional differential equations. The concept of fractional derivative is utilized in the Caputo sense. The
P. Rahimkhani, Y. Ordokhani, P. Lima
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Fractional Ordinary Differential Equations

2020
First we consider simple fractional ordinary differential equations: $$\displaystyle \begin{aligned} D_t^{\alpha} u(t) = -\lambda u(t) + f(t), \quad ...
Adam Kubica, Katarzyna Ryszewska, Masahiro Yamamoto   +2 more
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Fuzzy conformable fractional differential equations: novel extended approach and new numerical solutions

Soft Computing - A Fusion of Foundations, Methodologies and Applications, 2020
O. A. Arqub, M. Al‐Smadi
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Generalized Fractional Differential Equations

2019
In this chapter, the theory of linear and nonlinear fractional differential equations is developed and extended to a large class of generalized fractional evolutions. The used method is mostly that of semigroups and propagators as developed in Chapters 4 and 5. As previously, general facts are illustrated on concrete examples.
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Theory and Applications of Fractional Differential Equations

, 2006
A. Kilbas, H. Srivastava, J. Trujillo
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The Analysis of Fractional Differential Equations: An Application-Oriented Exposition Using Differential Operators of Caputo Type

, 2010
K. Diethelm
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Fuzzy Fractional Differential Equations

2020
Different materials and processes in many applied sciences like electrical circuits, biology, biomechanics, electrochemistry, electromagnetic processes and, others are widely recognized to be well predicted by using fractional differential operators in accordance with their memory and hereditary properties.
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