ON EXISTENCE AND STABILITY RESULTS FOR PANTOGRAPH FRACTIONAL BOUNDARY VALUE PROBLEMS

Hussam Alrabaiah, Gauhar Ali (), Amjad Ali (), Kamal Shah and Thabet Abdeljawad
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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

FRACTALS (fractals), 2022, vol. 30, issue 08, 1-11

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.

Keywords: Proportional Delay; ABC Derivative; Krasnoselskii Theorem; Stability Results (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1142/S0218348X22402319

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