lp-maximal regularity for fractional difference equations on UMD spaces

Discrete fractional calculus with the nabla operator

(2015) Ferhan M. Atici et al.   Electronic Journal of Qualitative Theory of Differential Equations

Solving Fractional Difference Equations Using the Laplace Transform Method

(2014) Li Xiao-yan et al.   Abstract and Applied Analysis

Stability regions for linear fractional differential systems and their discretizations

(2013) Jan Čermák et al.   APPLIED MATHEMATICS AND COMPUTATION

Hölder continuous solutions for fractional differential equations and maximal regularity

(2013) Rodrigo Ponce   JOURNAL OF DIFFERENTIAL EQUATIONS

On a first-order semipositone discrete fractional boundary value problem

(2012) Christopher S. Goodrich   ARCHIV DER MATHEMATIK

Existence and uniqueness of solution to some discrete fractional boundary value problems of order less than one

(2012) Rui A.C. Ferreira   JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS

On Riemann and Caputo fractional differences

(2011) Thabet Abdeljawad   COMPUTERS & MATHEMATICS WITH APPLICATIONS

The Laplace transform in discrete fractional calculus

(2011) Michael T. Holm   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Well-Posedness of Fractional Differential Equations on Vector-Valued Function Spaces

(2011) Shangquan Bu   INTEGRAL EQUATIONS AND OPERATOR THEORY

On a discrete fractional three-point boundary value problem

(2011) Christopher S. Goodrich   JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS

A characterization of periodic solutions for time-fractional differential equations in UMD spaces and applications

(2011) Valentin Keyantuo et al.   MATHEMATISCHE NACHRICHTEN

Mild well-posedness of equations with fractional derivative

(2011) Shangquan Bu   MATHEMATISCHE NACHRICHTEN

Existence of a positive solution to a system of discrete fractional boundary value problems

(2010) Christopher S. Goodrich   APPLIED MATHEMATICS AND COMPUTATION

Existence and uniqueness of solutions to a fractional difference equation with nonlocal conditions

(2010) Christopher S. Goodrich   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Modeling with fractional difference equations

(2010) Ferhan M. Atıcı et al.   JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Operator-Valued Fourier Multipliers, Vector - Valued Besov Spaces, and Applications

(2010) Herbert Amann   MATHEMATISCHE NACHRICHTEN

Semilinear evolution equations on discrete time and maximal regularity

(2009) Claudio Cuevas et al.   JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Initial value problems in discrete fractional calculus

(2008) Ferhan M. Atici et al.   PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY