Open AccessThe q-derivative and differential equation
Author(s) -
Haydar Akça,
Jamal Benbourenane,
Hichem Eleuch
Publication year - 2019
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1411/1/012002
Subject(s) - connection (principal bundle) , differential calculus , time scale calculus , mathematics , algebraic differential equation , differential equation , calculus (dental) , hypergeometric distribution , algebra over a field , hypergeometric function , differential (mechanical device) , ordinary differential equation , pure mathematics , mathematical analysis , differential algebraic equation , multivariable calculus , physics , medicine , geometry , dentistry , control engineering , engineering , thermodynamics
The q -calculus appeared as a connection between mathematics and physics. It has several applications in different mathematical areas such as number theory, combinatorics, orthogonal polynomials, basic hypergeometric functions, quantum theory, and electronics. Recently, a great interest to its applications in differential transform methods, in order to get analytical approximate solutions to the ordinary as well as partial differential equations. In this paper, we present some of the interesting definitions of q -calculus and q -derivatives. By using q -calculus, solutions of some differential equations could be generated.