Abstract Impulsive Volterra Integro-Differential Inclusions-Reference-Cited by-同舟云学术

Abstract Impulsive Volterra Integro-Differential Inclusions

Published:2023-01-09 Issue:1 Volume:7 Page:73
ISSN:2504-3110
Container-title:Fractal and Fractional
language:en
Short-container-title:Fractal Fract

Author:

Du Wei-Shih^ORCID,Kostić Marko^ORCID,Velinov Daniel^ORCID

Abstract

In this work, we provide several applications of (a,k)-regularized C-resolvent families to the abstract impulsive Volterra integro-differential inclusions. The resolvent operator families under our consideration are subgenerated by multivalued linear operators, which can degenerate in the time variable. The use of regularizing operator C seems to be completely new within the theory of the abstract impulsive Volterra integro-differential equations.

Publisher

MDPI AG

Subject

Statistics and Probability,Statistical and Nonlinear Physics,Analysis

Link

https://www.mdpi.com/2504-3110/7/1/73/pdf

Reference34 articles.

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3. Kilbas, A.A., Srivastava, H.M., and Trujillo, J.J. (2006). Theory and Applications of Fractional Differential Equations, Elsevier Science B. V.. North-Holland Mathematics Studies.

4. Kostić, M. (2015). Abstract Volterra Integro-Differential Equations, CRC Press.

5. Podlubny, I. (1999). Fractional Differential Equations, Academic Press.

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