On fractional \((p,q)\)-calculus
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Publication:2144041
DOI10.1186/s13662-020-2512-7zbMath1487.26014OpenAlexW3030308006MaRDI QIDQ2144041
Jarunee Soontharanon, Thanin Sitthiwirattham
Publication date: 1 June 2022
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13662-020-2512-7
(q)-calculus and related topics (05A30) Fractional derivatives and integrals (26A33) Difference equations, scaling ((q)-differences) (39A13)
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Cites Work
- Unnamed Item
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- A certain \((p,q)\)-derivative operator and associated divided differences
- Approximation by \((p,q)\)-Lorentz polynomials on a compact disk
- On \((p, q)\)-analogue of Bernstein operators
- Some approximation results by \((p, q)\)-analogue of Bernstein-Stancu operators
- On fractional Hahn calculus
- On the fundamental theorem of \((p,q)\)-calculus and some \((p,q)\)-Taylor formulas
- \((p,q)\)-beta functions and applications in approximation
- \(q\)-field theory
- \(q\)-gamma and \(q\)-beta functions in quantum algebra representation theory
- \(q\)-gravity
- Kinetic model for \(q\)-deformed bosons and fermions
- \(q\)-functional field theory for particles with exotic statistics.
- On the convergence of Lupaş \((p ,q)\)-Bernstein operators via contraction principle
- \((p,q)\)-gamma operators which preserve \(x^2\)
- Some Opial-type integral inequalities via \((p, q)\)-calculus
- On the second-order quantum \((p, q)\)-difference equations with separated boundary conditions
- Representations of two parameter quantum algebras and \(p,q\)-special functions
- q GAUGE THEORY
- On the representations of GLp,q(2), GLp,q(1 mod 1) and non-commutative spaces
- q-Serre relations in Uq(un) and q-deformed meson mass sum rules
- q-Deformation of the Coulomb problem
- Nonlocal boundary value problems for (p, q)-difference equations
- Differences of Fractional Order
- Two-Parameter Deformation of the Oscillator Algebra and (p, q)Analog of Two-Dimensional Conformal Field Theory
- Convergence of iterates of q-Bernstein and (p,q)-Bernstein operators and the Kelisky-Rivlin type theorem
- Some approximation results on Bleimann-Butzer-Hahn operators defined by (p,q)-integers
- The q-Coulomb problem
- A q-deformation of the Coulomb problem
- The q-Coulomb problem in configuration space
- Some Fractional q-Integrals and q-Derivatives
- One-parameter family of selfdual solutions in classical Yang-Mills theory.
- Quantum calculus
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