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Classical Solutions For A Bvp For A Class Impulsive Fractional Partial Differential Equations

Author

Listed:
  • SVETLIN G. GEORGIEV

    (Department of Differential Equations, Faculty of Mathematics and Informatics, University of Sofia, Sofia, Bulgaria)

  • KHALED ZENNIR

    (��Department of Mathematics, College of Sciences and Arts, Qassim, University, Ar-Rass, Saudi Arabia‡Laboratoire de Mathématiques Appliquées, et de Modélisation, Université 8 Mai 1945 Guelma, Guelma 24000, Algeria)

  • WIEM ABEDELMONEM SALAH BEN KHALIFA

    (�Applied College, Imam Abdulrahman Bin Faisal, University, Dammam, Saudi Arabia)

  • AMAL HASSAN MOHAMMED YASSIN

    (�Applied College, Imam Abdulrahman Bin Faisal, University, Dammam, Saudi Arabia)

  • AYMEN GHILEN

    (�Applied College, Imam Abdulrahman Bin Faisal, University, Dammam, Saudi Arabia)

  • SULIMA AHMED MOHAMMED ZUBAIR

    (��Department of Mathematics, College of Sciences and Arts, Qassim, University, Ar-Rass, Saudi Arabia)

  • NAJLA ELZEIN ABUKASWI OSMAN

    (�Applied College, Imam Abdulrahman Bin Faisal, University, Dammam, Saudi Arabia)

Abstract

In this paper, we investigate a BVP for a class impulsive fractional partial differential equations. We propose a new topological approach to prove the existence of at least one classical solution and at least two nonnegative classical solutions. The arguments are based upon recent theoretical results.

Suggested Citation

  • Svetlin G. Georgiev & Khaled Zennir & Wiem Abedelmonem Salah Ben Khalifa & Amal Hassan Mohammed Yassin & Aymen Ghilen & Sulima Ahmed Mohammed Zubair & Najla Elzein Abukaswi Osman, 2022. "Classical Solutions For A Bvp For A Class Impulsive Fractional Partial Differential Equations," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 30(10), pages 1-12, December.
    • Handle: RePEc:wsi:fracta:v:30:y:2022:i:10:n:s0218348x22402642
    DOI: 10.1142/S0218348X22402642
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    Cited by:

    1. Abdelkader Moumen & Mohamed Ferhat & Amin Benaissa Cherif & Mohamed Bouye & Mohamad Biomy, 2023. "A System of Coupled Impulsive Neutral Functional Differential Equations: New Existence Results Driven by Fractional Brownian Motion and the Wiener Process," Mathematics, MDPI, vol. 11(24), pages 1-23, December.

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