t^p/p-Laplace transformation for Finite Time Stability for Composition and Riemann- Katugampola Fractional Integro-Differential Systems
DOI:
https://doi.org/10.31185/wjps.810Keywords:
Finite time stability, R-K fractional integral, C-K composition fractional derivativesAbstract
In this research, the finite-time stability of Multi-Composition Caputo-Katugampola fractional Integro- Differential Nonlinear system with many values of fractional derivatives is studied with some sufficient and necessary conditions as Lipchitz conditions for nonlinear functions involving Riemann– Katugampola fractional integral and the formulas derived from them with their respective bounded value as well as finding the solution under these conditions that contains Mittag Leffler functions which appeared through the use of the generalized Laplace formula which suitable with Caputo-Katugampola fractional derivative. Therefore, important conditions appeared that contain the parameters that played a good role in finding and computing the stability as in the attached tables of illustrative examples that explain the necessary time requirements for it.
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