Application of Touchard wavelet to simulate numerical solutions to fractional pantograph differential equations

• Autorzy: Safavi Mostafa , Khajehnasiri Amirahmad , Ezzati Reza , Rezabeyk Saeedeh

Identyfikatory

DOI

10.1515/jaa-2023-0029

• Języki publikacji: EN

Abstrakty

EN

This paper proposes a new operational numerical method based on Touchard wavelets for solving fractional pantograph differential equations. First, we present an operational matrix of fractional integration as well as the fractional derivative of the Touchard wavelets. Then, by approximating the fractional derivative of the unknown function in terms of the Touchard wavelets and also by using collocation method, the original problem is reduced to a system of algebraic equations. Finally, to show the accuracy and the validity of the proposed technique, we provide some numerical examples.

Słowa kluczowe

EN

Touchard wavelet; pantograph equation; operational matrix; fractional derivative

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2024
• Tom: Vol. 30, nr 1
• Strony: 103--116
• Opis fizyczny: Bibliogr. 47 poz., 1 mapa, wykr.

Twórcy

autor

Safavi Mostafa

• Department of Mathematical Sciences, The University of Texas at Dallas, Richardson, TX 75080, USA

autor

Khajehnasiri Amirahmad

• Department of Mathematics, Central Tehran Branch, Islamic Azad University, Tehran, Iran

autor

Ezzati Reza

• Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran

autor

Rezabeyk Saeedeh

• Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa nr POPUL/SP/0154/2024/02 w ramach programu "Społeczna odpowiedzialność nauki II" - moduł: Popularyzacja nauki (2025).