Existence of resolvent for conformable fractional Volterra integral equations

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Younus A., Bukhsh K., Tunç C.

APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL, vol.15, no.1, pp.372-393, 2020 (ESCI)

• Publication Type: Article / Article
• Volume: 15 Issue: 1
• Publication Date: 2020
• Journal Name: APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL
• Journal Indexes: Emerging Sources Citation Index (ESCI)
• Page Numbers: pp.372-393
• Van Yüzüncü Yıl University Affiliated: Yes

Abstract

In this paper, we consider the conformable fractional Volterra integral equation. We study the existence of a resolvent kernel corresponding to conformable fractional Volterra integral equation. The technique of proof involves Lebesgue dominated convergence theorem. Our results improve and extend the results obtained in literature.