ALGORITHM FOR THE SOLUTION OF NONLINEAR VARIABLE-ORDER PANTOGRAPH FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS USING HAAR METHOD

Kamal Shah, Rohul Amin (), Gauhar Ali (), Nabil Mlaiki () and Thabet Abdeljawad
Additional contact information
Kamal Shah: Department of Mathematics and Sciences, Prince Sultan University, P.O. Box 84428, Riyadh 11586, Saudi Arabia†Department of Mathematics, University of Malakand, Chakdara, Dir (L), Khyber Pakhtunkhwa, Pakistan
Rohul Amin: ��Department of Mathematics, University of Peshawar, Khyber Pakhtunkhwa, Pakistan
Gauhar Ali: �Department of Mathematics, Government Post Graduate Jahanzeb College Saidu Sharif Swat, Khyber Pakhtunkhwa, Pakistan
Nabil Mlaiki: Department of Mathematics and Sciences, Prince Sultan University, P.O. Box 84428, Riyadh 11586, Saudi Arabia
Thabet Abdeljawad: Department of Mathematics and Sciences, Prince Sultan University, P.O. Box 84428, Riyadh 11586, Saudi Arabia¶Department of Medical Research, China Medical University, Taichung 40402, Taiwan

FRACTALS (fractals), 2022, vol. 30, issue 08, 1-9

Abstract: This research work is related to establish a powerful algorithm for the computation of numerical solution to nonlinear variable order integro-differential equations (VO-IDEs). The adopted procedure is based on the Haar Wavelet Method (HWM) to compute the required numerical solution to the proposed problem. Further, in the considered problem, a proportional-type delay term is involved, which is also known as the pantograph equation. For a physical problem to investigate the computational purposes, we need to first ensure its existence. For this purpose, we utilize classical fixed results given by Banach and Schauder to establish the sufficient conditions for existence of at least one approximate solution to the proposed problem. Two pertinent examples are given, where the error analysis is also recorded.

Keywords: Fractional Pantograph Delay Integro-Differential Equations; Variable Fractional Order; Haar Wavelet; Banach Theorem (search for similar items in EconPapers)
Date: 2022
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S0218348X22402253
Access to full text is restricted to subscribers

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wsi:fracta:v:30:y:2022:i:08:n:s0218348x22402253

Ordering information: This journal article can be ordered from

DOI: 10.1142/S0218348X22402253

Access Statistics for this article

FRACTALS (fractals) is currently edited by Tara Taylor

More articles in FRACTALS (fractals) from World Scientific Publishing Co. Pte. Ltd.
Bibliographic data for series maintained by Tai Tone Lim ().