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A generalized neutral-type inclusion problem in the frame of the generalized Caputo fractional derivatives.
- Source :
-
Advances in Difference Equations . 8/31/2021, Vol. 2021 Issue 1, p1-17. 17p. - Publication Year :
- 2021
-
Abstract
- In this paper, we study the existence of solutions for a generalized sequential Caputo-type fractional neutral differential inclusion with generalized integral conditions. The used fractional operator has the generalized kernel in the format of (ϑ (t) − ϑ (s)) along with differential operator 1 ϑ ′ (t) d d t . We obtain existence results for two cases of convex-valued and nonconvex-valued multifunctions in two separated sections. We derive our findings by means of the fixed point principles in the context of the set-valued analysis. We give two suitable examples to validate the theoretical results. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 16871839
- Volume :
- 2021
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Advances in Difference Equations
- Publication Type :
- Academic Journal
- Accession number :
- 152182852
- Full Text :
- https://doi.org/10.1186/s13662-021-03559-7