Artikel
Open Access
Fractional calculus for power functions and eigenvalues of the fractional Laplacian
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Bartłlomiej Dyda
Veröffentlicht/Copyright:
29. September 2012
Published Online: 2012-9-29
Published in Print: 2012-12-1
© 2012 Diogenes Co., Sofia
Artikel in diesem Heft
- FCAA related meetings, books, in memoriam (FCAA-volume 15-N° 4)
- Fractional calculus for power functions and eigenvalues of the fractional Laplacian
- Bernstein polynomials for solving fractional heat- and wave-like equations
- Fuzzy fractional integral equations under compactness type condition
- Existence results for semilinear fractional differential equations via Kuratowski measure of noncompactness
- A uniqueness result for a fractional differential equation
- Fractional calculus on time scales with Taylor’s theorem
- On a class of time-fractional differential equations
- Numerical studies for the variable-order nonlinear fractional wave equation
- Solution of fractional partial differential equations using iterative method
- Some generalized fractional calculus operators and their applications in integral equations
- An historical perspective on fractional calculus in linear viscoelasticity
- The derivation of the generalized functional equations describing self-similar processes
Schlagwörter für diesen Artikel
fractional Laplacian;
ball;
killed stable process;
eigenvalue;
power function;
hypergeometric function
Creative Commons
BY-NC-ND 3.0
Artikel in diesem Heft
- FCAA related meetings, books, in memoriam (FCAA-volume 15-N° 4)
- Fractional calculus for power functions and eigenvalues of the fractional Laplacian
- Bernstein polynomials for solving fractional heat- and wave-like equations
- Fuzzy fractional integral equations under compactness type condition
- Existence results for semilinear fractional differential equations via Kuratowski measure of noncompactness
- A uniqueness result for a fractional differential equation
- Fractional calculus on time scales with Taylor’s theorem
- On a class of time-fractional differential equations
- Numerical studies for the variable-order nonlinear fractional wave equation
- Solution of fractional partial differential equations using iterative method
- Some generalized fractional calculus operators and their applications in integral equations
- An historical perspective on fractional calculus in linear viscoelasticity
- The derivation of the generalized functional equations describing self-similar processes
