New properties of the time-scale fractional operators with application to dynamic equations

Author:

Benaissa Cherif,Zohra Ladrani

Abstract

We introduce new properties of Riemann-Liouville fractional integral and derivative on time scales. As well as sufficient conditions for existence and uniqueness of solution to an initial value problem for a class differential equations on time scales.

Publisher

Centre for Evaluation in Education and Science (CEON/CEES)

Subject

General Medicine

Reference28 articles.

1. A. Cabada, D. Vivero, Expression of the Lebesgue ∆-integral on time scales as a usual Lebesgue integral; application to the calculus of ∆-antiderivatives, Mathematical and Computer Modelling, 43 (2006), 194-207;

2. A. Granas, J. Dugundji, Fixed point theory, Springer Monographs in Mathematics, Springer-Verlag, New York, 2003;

3. A. B. Cherif, F. Z. Ladrani, Hardy's-sobolev's-type inequalities on time scale via alpha conformable fractional integral, Journal of Fractional Calculus and Applications, 2 (8) (2017), 156-165;

4. A. B. Cherif, A. Hammoudi, F. Z. Ladrani, Density problems in L p ∆ (T, R) space, Electronic Journal of Mathematical Analysis and Applications, 1 (2013), 178-187;

5. A. B. Cherif, F. Z. Ladrani, Density problems in sobolev's spaces on time scales, Kragujevac Journal of Mathematics, 45 (2021), 215-223;

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