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On Existence And Stability Results For Pantograph Fractional Boundary Value Problems

Author

Listed:
  • HUSSAM ALRABAIAH

    (Department of Mathematics, Tafila Technical University, Tafila, Jordan2College of Engineering, Al Ain University, Al Ain, UAE)

  • GAUHAR ALI

    (Department of Mathematics, Government Post Graduate Jehanzeb College, Saidu Sharif, Swat, Khyber Pakhtunkhawa, Pakistan)

  • AMJAD ALI

    (Department of Mathematics and Statistics, University of Swat, Swat, KPK, Pakistan)

  • KAMAL SHAH

    (Department of Mathematics and Sciences, Prince Sultan University, 11586 Riyadh, Saudi Arabia6Department of Mathematics, University of Malakand, Chakdara Dir(L), 18000 Khyber Pakhtunkhwa, Pakistan)

  • THABET ABDELJAWAD

    (Department of Mathematics and Sciences, Prince Sultan University, 11586 Riyadh, Saudi Arabia7Department of Medical Research, China Medical University, Taichung 40402, Taiwan)

Abstract

In this paper, we investigated some essential provisions for the existence and stability of the solution to integral boundary value problems with proportional delay of fractional order Atangana–Baleanu–Caputo (ABC) derivative. By the guidance of fixed point theory, we acquire the deserted results. Moreover, different types of Ullam–Hyers stabilities are investigated for the proposed problem. We also provide an appropriate example for illustrative purposes.

Suggested Citation

  • Hussam Alrabaiah & Gauhar Ali & Amjad Ali & Kamal Shah & Thabet Abdeljawad, 2022. "On Existence And Stability Results For Pantograph Fractional Boundary Value Problems," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 30(08), pages 1-11, December.
    • Handle: RePEc:wsi:fracta:v:30:y:2022:i:08:n:s0218348x22402319
    DOI: 10.1142/S0218348X22402319
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