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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2. Diethelm, K. (2010). The Analysis of Fractional Differential Equations, Springer. Lecture Notes in Mathematics.

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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