Existence results of noninstantaneous impulsive fractional integro-differential equation

• Autorzy: Kataria Haribhai R. , Patel Prakashkumar H. , Shah Vishant

Identyfikatory

DOI

10.1515/dema-2020-0029

• Języki publikacji: EN

Abstrakty

EN

Existence of mild solution for noninstantaneous impulsive fractional order integro-differential equations with local and nonlocal conditions in Banach space is established in this paper. Existence results with local and nonlocal conditions are obtained through operator semigroup theory using generalized Banach contraction theorem and Krasnoselskii’s fixed point theorem, respectively. Finally, illustrations are added to validate derived results.

Słowa kluczowe

EN

fractional integro-differential equation; semigroup; non-instantaneous impulses; fixed point theorem

PL

równanie ułamkowe; równanie całkowo-różniczkowe; półgrupa; impuls; twierdzenie o punkcie stałym

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2020
• Tom: Vol. 53, nr 1
• Strony: 373--384
• Opis fizyczny: Bibliogr. 38 poz.

Twórcy

autor

Kataria Haribhai R.

• Department of Mathematics, Faculty of Science, The M. S. University of Baroda, Vadodara - 390001, India

autor

Patel Prakashkumar H.

• Department of Mathematics, Faculty of Science, The M. S. University of Baroda, Vadodara - 390001, India

autor

Shah Vishant

• Department of Applied Mathematics, Faculty of Technology and Engineering, The M. S. University of Baroda,Vadodara - 390 001, India

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