Control of chaos in incommensurate fractional order discrete system

Batiha, Iqbal M.; Djenina, Noureddine; Ouannas, Adel; Oussaeif, Taki-Eddine; Aoua, L. Ben; Momani, Shaher

doi:10.1109/icfda58234.2023.10153180

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2023

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“…The authors in [17,18] introduced Katugampola Fourier and Laplace transforms by using these definitions, and they used these transforms to solve some fractional partial differential equations as in [19]. In [20], Abedaljwad proceed on to develop the definitions of left and right conformable fractional derivatives, and also Left and right conformable fractional integrals, see the references [21][22][23][24][25] to get a further overview about some schemes related to the fractional integro-differential operators.…”

Section: Introductionmentioning

confidence: 99%

Results on Katugampola Fractional Derivatives and Integrals

Jebril,

El-Khatib,

Abubaker

et al. 2023

Int. J. Anal. Appl.

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In this paper, we introduce and develop a new definitions for Katugampola derivative and Katugampola integral. In particular, we defined a (left) fractional derivative starting from a of a function f of order α∈(m-1, m] and a (right) fractional derivative terminating at b, where m ∈ N. Then, we give some proprieties in relation to these operators such as linearity, product rule, quotient rule, power rule, chain rule, and vanishing derivatives for constant functions.

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