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Ismail T. Huseynov
Ismail T. Huseynov

Public Documents 1
On a study of Sobolev type fractional functional evolution equations
Ismail T. Huseynov
Arzu Ahmadova

Ismail T. Huseynov

and 2 more

March 13, 2021
Sobolev type fractional functional evolution equations have many applications in the modeling of many physical processes. Therefore, we investigate fractional-order time-delay evolution equation of Sobolev type with multi-orders in a Banach space and introduce an analytical representation of a mild solution via a new delayed Mittag-Leffler type function which is generated by linear bounded operators. Furthermore, we derive an exact analytical representation of solutions for multi-dimensional fractional functional dynamical systems with nonpermutable and permutable matrices. We also study stability analysis of the given time-delay system in Ulam-Hyers sense with the help of Laplace transform.

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