The q-derivative and differential equation

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 applic...

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Bibliographic Details
Published in:Journal of physics. Conference series Vol. 1411; no. 1; pp. 12002 - 12009
Main Authors: Akça, Haydar, Benbourenane, Jamal, Eleuch, Hichem
Format: Journal Article
Language:English
Published: Bristol IOP Publishing 01.11.2019
Subjects:
Calculus
Combinatorial analysis
Differential calculus
Hypergeometric functions
Mathematical analysis
Number theory
Partial differential equations
Physics
Polynomials
Quantum theory
ISSN:1742-6588, 1742-6596
Online Access:Get full text
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Summary: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.
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ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/1411/1/012002