Journal ArticleDOI
Subordination principle, Wright functions and large-time behavior for the discrete in time fractional diffusion equation
TLDR
In this paper, the authors studied asymptotic behavior in L p (R N ) for the solutions of the fractional version of the discrete in time N-dimensional diffusion equation, which involves the Caputo fractional h-difference operator.About:
This article is published in Journal of Mathematical Analysis and Applications.The article was published on 2022-03-01. It has received 1 citations till now. The article focuses on the topics: Subordination (linguistics) & Discrete time and continuous time.read more
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Discretization of C0$$ {C}_0 $$ ‐semigroups and discrete semigroups of operators in Banach spaces
TL;DR: In this article , the authors introduced the notion of a τ-tau semigroup, which is a discrete semigroup generated by a closed linear operator in a Banach space, and characterized uniform exponential stability of a C0-n∈ℕ0 semigroup.
References
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Book
Table of Integrals, Series, and Products
TL;DR: Combinations involving trigonometric and hyperbolic functions and power 5 Indefinite Integrals of Special Functions 6 Definite Integral Integral Functions 7.Associated Legendre Functions 8 Special Functions 9 Hypergeometric Functions 10 Vector Field Theory 11 Algebraic Inequalities 12 Integral Inequality 13 Matrices and related results 14 Determinants 15 Norms 16 Ordinary differential equations 17 Fourier, Laplace, and Mellin Transforms 18 The z-transform
Book
Partial Differential Equations
TL;DR: In this paper, the authors present a theory for linear PDEs: Sobolev spaces Second-order elliptic equations Linear evolution equations, Hamilton-Jacobi equations and systems of conservation laws.
Book
An Introduction to the Fractional Calculus and Fractional Differential Equations
Kenneth S. Miller,Bertram Ross +1 more
TL;DR: The Riemann-Liouville Fractional Integral Integral Calculus as discussed by the authors is a fractional integral integral calculus with integral integral components, and the Weyl fractional calculus has integral components.
Book
Fractional Calculus and Waves in Linear Viscoelasticity: An Introduction to Mathematical Models
TL;DR: The Eulerian Functions The Bessel Functions The Error Functions The Exponential Integral Functions The Mittag-Leffler Functions The Wright Functions as mentioned in this paper The Eulerians Functions
MonographDOI
Théorie analytique de la chaleur
TL;DR: Fourier's Theorie Analytique de la Chaleur as mentioned in this paper was originally published in 1822 and was used to study the mathematical laws governing heat diffusion and proposed that an infinite mathematical series may be used to analyse the conduction of heat in solids.