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New Extension of Darbo’s Fixed Point Theorem and Its Application to a System of Weighted-Fractional-Type Integral Equations

Author

Listed:
  • Marija Paunović

    (Department of Natural Sciences, Faculty of Hotel Management and Tourism, University of Kragujevac, 36210 Vrnjačka Banja, Serbia
    Faculty of Business and Law, University “MB”, 11000 Belgrade, Serbia)

  • Ana Savić

    (Academy of Technical and Art Applied Studies, 11000 Belgrade, Serbia)

  • Hemanta Kalita

    (Mathematics Division, School of Advanced Sciences and Languages, VIT Bhopal University, Bhopal-Indore Highway, Sehore 466114, Madhya Pradesh, India)

  • Sudip Deb

    (Department of Mathematics, Pandit Deendayal Upadhyaya Adarsha Mahavidyalaya, Amjonga, Goalpara 783124, Assam, India)

  • Vahid Parvaneh

    (Department of Mathematics, Gilan-E-Gharb Branch, Islamic Azad University, Gilan-E-Gharb 6787141343, Iran)

Abstract

In this article, we introduce several new extensions of Darbo’s fixed point theorem with newly constructed contraction functions associated with the measure of noncompactness. We apply our new extensions to prove the existence of solutions for a system of weighted fractional integral equations in Banach space B C ( R + ) . At the end, we establish an example to show the applicability of our discovery.

Suggested Citation

  • Marija Paunović & Ana Savić & Hemanta Kalita & Sudip Deb & Vahid Parvaneh, 2024. "New Extension of Darbo’s Fixed Point Theorem and Its Application to a System of Weighted-Fractional-Type Integral Equations," Mathematics, MDPI, vol. 12(13), pages 1-15, July.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:13:p:2133-:d:1430443
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