q-ANALOGUEOFHILFER-KATUGAMPOLAFRACTIONAL DERIVATIVESANDAPPLICATIONS

Authors

  • Ishfaq Ahmad Mallah DepartmentofMathematics, MaulanaAzadNationalUrduUniversity, Gachibowli,Hyderabad-500032,Telangana, INDIA
  • Lata Chanchlani DepartmentofMathematics, UniversityofRajasthan,Jaipur-302004,Rajasthan, INDIA
  • Subhash Alha DepartmentofMathematics, MaulanaAzadNationalUrduUniversity, Gachibowli,Hyderabad-500032,Telangana, INDIA

DOI:

https://doi.org/10.56827/SEAJMMS.2023.1902.06

Keywords:

Hilfer-Katugampolafractionalq-derivatives,qp-MittagLeffler function,Generalizedq-Taylor’s formula,Generalizedq-differential transformmethod.

Abstract

Anovel qp-variant of the q−Mittag-Leffler functionandaquantum analoguepDα,β a±,qoftheHilfer-Katugampolafractionalderivativearedefined.Then, generalizationsoftheq−Taylor’sformulaandtheq−differentialtransformandits inverseareobtainedusingtheoperator pDα,β a±,q. Additionally, afewpropertiesof thenewlydefinedq-differential transformareestablished. Finally, threeproposed fractional q-differenceequationsaresolvedtoshowtheeffectivenessof thetransform.

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Published

2023-08-30

Issue

Vol. 19 No. 02 (2023): South East Asian Journal of Mathematics and Mathematical Sciences

Section

Articles