Variational methods for fractional \(q\)-Sturm-Liouville problems
From MaRDI portal
Publication:308545
DOI10.1186/s13661-016-0659-7zbMath1344.39008arXiv1602.01498OpenAlexW2962699520WikidataQ59461458 ScholiaQ59461458MaRDI QIDQ308545
Publication date: 6 September 2016
Published in: Boundary Value Problems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1602.01498
eigenvalues and eigenfunctions\(q\)-fractional variational calculusleft- and right-sided Riemann-Liouville and Caputo \(q\)-derivatives
Fractional derivatives and integrals (26A33) Difference equations, scaling ((q)-differences) (39A13) Variational methods for eigenvalues of operators (49R05)
Related Items (4)
On fractional \(q\)-Sturm-Liouville problems ⋮ Variational approach for tempered fractional Sturm-Liouville problem ⋮ Hermite-Hadamard inequalities for quantum integrals: a unified approach ⋮ Aβ-Sturm–Liouville problem associated with the general quantum operator
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Fractional Sturm-Liouville problem
- Fractional Sturm-Liouville eigen-problems: theory and numerical approximation
- An efficient algorithm for solving higher-order fractional Sturm-Liouville eigenvalue problems
- Variational methods for the fractional Sturm-Liouville problem
- \(q\)-fractional calculus and equations
- The Hahn quantum variational calculus
- Basic Fourier series: convergence on and outside the \(q\)-linear grid
- Fractional variational calculus for nondifferentiable functions
- First variation formula and conservation laws in several independent discrete variables
- Necessary and sufficient conditions for the fractional calculus of variations with Caputo derivatives
- First integrals in the discrete variational calculus
- Sharp discrete inequalities and applications to discrete variational problems
- Calculus of variations with fractional derivatives and fractional integrals
- The Hamilton formalism with fractional derivatives
- Hamilton-Jacobi fractional mechanics
- Basic-deformed quantum mechanics
- A generalization of the concept of \(q\)-fractional integrals
- On the zeros of the Hahn-Exton \(q\)-Bessel function and associated \(q\)- Lommel polynomials
- The calculus of variations
- Variational \(q\)-calculus.
- Variational calculus on \(q\)-nonuniform lattices
- Formulation of Euler-Lagrange equations for fractional variational problems
- First variation formula for discrete variational problems in two independent variables
- On sampling theory and basic Sturm-Liouville systems
- Real Paley-Wiener theorems for the Koornwinder-Swarttouw \(q\)-Hankel transform
- Generalized invariant variational problems
- q-Titchmarsh-Weyl theory: series expansion
- Generalized Euler—Lagrange Equations and Transversality Conditions for FVPs in terms of the Caputo Derivative
- An Addition Theorem and Some Product Formulas for the Hahn-Exton q-Bessel Functions
- Basic Sturm–Liouville problems
- Some invariance identities for discrete systems
- Generalized transversality conditions for the Hahn quantum variational calculus
- Tempered Fractional Sturm--Liouville EigenProblems
- Fractional variational calculus in terms of Riesz fractional derivatives
- Higher-order discrete variational problems with constraints
- Fractional variational calculus and the transversality conditions
- On finite fractional Sturm–Liouville transforms
- Discrete calculus of variations
- Higher dimensional problems in the discrete calculus of variations †
- Sampling theory associated withq-difference equations of the Sturm–Liouville type
- Basic analog of Fourier series on a \(q\)-linear grid.
This page was built for publication: Variational methods for fractional \(q\)-Sturm-Liouville problems
