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Numerical modeling and simulation of stochastic fractional order model for COVID-19 infection in Mittag-Leffler kernel. [PDF]

Sci Rep
Khan MA, Zafar ZUA, Ahmad I, Isa NM, Alzahrani E.   +4 more
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Existence and controllability analysis of multi-term fractional coupled systems with generalized [Formula: see text]-Caputo-Fabrizio operators. [PDF]

Sci Rep
Saad KM, Abdo MS, Hamanah WM.
europepmc   +1 more source

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Linear Stationary Fractional Differential Equations

Fractional Calculus and Applied Analysis, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nosov, Valeriy, Meda-Campaña, Jesús Alberto   +1 more
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Fractional Differential Equations

2023
Mouffak Benchohra, Erdal Karapınar, Jamal Eddine Lazreg, Abdelkrim Salim   +3 more
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Fractional Differential Equations

2018
Let the fractional differential equation (FDE) be $$\displaystyle (D^\alpha _{a_+}y)(t) = f[t,y(t)],\hspace {0.2 cm} \alpha > 0,\hspace {0.2 cm} t > a,$$ with the conditions: $$\displaystyle (D^{\alpha - k}_{a+}y)(a+) = b_k,\hspace {0.2 cm} k = 1,\ldots , n,$$ called also Riemann–Liouville FDE.
Constantin Milici, Gheorghe Drăgănescu, J. Tenreiro Machado   +2 more
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Multivalued fractional differential equations

Applied Mathematics and Computation, 1995
The authors study the Cauchy problem of a multivalued fractional differential equation as a consequent result of the study of Cauchy problem of fractional differential equations in the Banach space \(E\). They prove some theorems and present their existence and some other properties.
El-Sayed, A. M. A., Ibrahim, A. G.
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Fractional Differential Equations in Electrochemistry

Civil-Comp Proceedings, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Time-Fractional Differential Equations

2020
This book aims to establish a foundation for fractional derivatives and fractional differential equations. The theory of fractional derivatives enables considering any positive order of differentiation. The history of research in this field is very long, with its origins dating back to Leibniz.
Adam Kubica, Katarzyna Ryszewska, Masahiro Yamamoto   +2 more
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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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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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