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Fuzzy Fractional Differential Equations [PDF]

, 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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WAVE EQUATION AND FRACTIONAL DIFFERENTIATION

2023
Source: Masters Abstracts International, Volume: 12-02, page: 1330.
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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 ...
Katarzyna Ryszewska, Adam Kubica, 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.
Vassili N. Kolokoltsov, Vassili N. Kolokoltsov   +1 more
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Uniqueness of solution for higher-order nonlinear fractional differential equations with multi-point and integral boundary conditions

, 2021
Rezan Sevinik-Adıgüzel, Ü. Aksoy, E. Karapınar, I. Erhan   +3 more
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Fractional Integro-Differential Equations

2018
Fractional calculus is a generalization of the classical differentiation and integration of non-integer order. Fractional calculus is as old as differential calculus.
Toka Diagana, Toka Diagana, Toka Diagana
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Theory and Applications of Fractional Differential Equations

, 2006
A. Kilbas, H. Srivastava, J. Trujillo
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Fractional Differential Equations

Applied Mathematical Sciences, 2021
Bangti Jin
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Topics in Fractional Differential Equations

2012
Preface.- 1. Preliminary Background.- 2. Partial Hyperbolic Functional Differential Equations.- 3. Partial Hyperbolic Functional Differential Inclusions.- 4. Impulsive Partial Hyperbolic Functional Differential Equations.- 5. Impulsive Partial Hyperbolic Functional Differential Inclusions.- 6.
Mouffak Benchohra, Saïd Abbas, Gaston M. N’Guérékata   +2 more
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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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