THE SOLUTION OF A NEW CAPUTO-LIKE FRACTIONAL ℎ-DIFFERENCE EQUATION

B Jia, X Liu, F Du, M Wang - The Rocky Mountain Journal of Mathematics, 2018 - JSTOR
Consider the Caputo fractional ℎ-difference equation Δ ah,* ν x (t)= c (t) x (t+ ν), 0< ν< 1,
t∈(h ℕ) a+(1− ν) h, where Δ ah,* ν x (t) denotes the Caputo-like delta fractional ℎ-difference …

Power functions and essentials of fractional calculus on isolated time scales

T Kisela - Advances in Difference Equations, 2013 - Springer
This paper is concerned about a recently suggested axiomatic definition of power functions
on a general time scale and its consequences to fractional calculus. Besides a discussion of …

[PDF][PDF] FOUNDATIONS OF FRACTIONAL CALCULUS ON TIME SCALES

PM DOLNÍK - core.ac.uk
The bachelor thesis concerns fractional calculus on time scales, more precisely, it introduces
fractional calculus on time scales and also investigates the property of uniqueness of the …