The Experts below are selected from a list of 315 Experts worldwide ranked by ideXlab platform
Ramazan Ozarslan - One of the best experts on this subject based on the ideXlab platform.
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Representation of Solutions for sturm liouville eigenvalue problems with generalized fractional derivative
Chaos, 2020Co-Authors: Ramazan Ozarslan, Erdal Bas, Dumitru BaleanuAbstract:We analyze fractional Sturm-Liouville problems with a new generalized fractional derivative in five different forms. We investigate the Representation of Solutions by means of ρ-Laplace transform for generalized fractional Sturm-Liouville initial value problems. Finally, we examine eigenfunctions and eigenvalues for generalized fractional Sturm-Liouville boundary value problems. All results obtained are compared with simulations in detail under different α fractional orders and real ρ values.
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Representation of Solutions for Sturm–Liouville eigenvalue problems with generalized fractional derivative
Chaos (Woodbury N.Y.), 2020Co-Authors: Ramazan Ozarslan, Erdal Bas, Dumitru BaleanuAbstract:We analyze fractional Sturm-Liouville problems with a new generalized fractional derivative in five different forms. We investigate the Representation of Solutions by means of ρ-Laplace transform for generalized fractional Sturm-Liouville initial value problems. Finally, we examine eigenfunctions and eigenvalues for generalized fractional Sturm-Liouville boundary value problems. All results obtained are compared with simulations in detail under different α fractional orders and real ρ values.
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sturm liouville problem via coulomb type in difference equations
Filomat, 2017Co-Authors: Erdal Bas, Ramazan OzarslanAbstract:We present Sturm-Liouville problem via Coulomb type in difference equations. The Representation of Solutions is found. We proved that these Solutions satisfy the equation. Asymptotic formulas of eigenfunctions are set.
Anatoliy K. Prykarpatsky - One of the best experts on this subject based on the ideXlab platform.
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A VERTEX OPERATOR Representation of Solutions TO THE GUREVICH-ZYBIN HYDRODYNAMICAL EQUATION
Opuscula Mathematica, 2013Co-Authors: Yarema A. Prykarpatsky, Denis Blackmore, Jolanta Golenia, Anatoliy K. PrykarpatskyAbstract:An approach based on the spectral and Lie - algebraic techniques for constructing vertex operator Representation for Solutions to a Riemann type hydrodynamical hierarchy is devised. A functional Representation generating an infinite hierarchy of dispersive Lax type integrable flows is obtained.
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A vertex operator Representation of Solutions to a Riemann type hydrodynamical hierarchy
2011Co-Authors: Yarema A. Prykarpatsky, Denis Blackmore, Jolanta Golenia, Anatoliy K. PrykarpatskyAbstract:An approach based on the spectral and Lie - algebraic techniques for constructing vertex operator Representation for Solutions to a Riemann type Gurevicz-Zybin hydrodynamical hierarchy is devised. A functional Representation generating an infinite hirerachy of dispersive Lax type integrable flows is obtaned.
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A vertex operator Representation of Solutions to the Gurevich-Zybin hydrodynamical equation
arXiv: Exactly Solvable and Integrable Systems, 2011Co-Authors: Yarema A. Prykarpatsky, Denis Blackmore, Jolanta Golenia, Anatoliy K. PrykarpatskyAbstract:An approach based on the spectral and Lie - algebraic techniques for constructing vertex operator Representation for Solutions to a Riemann type Gurevicz-Zybin hydrodynamical hierarchy is devised. A functional Representation generating an infinite hirerachy of dispersive Lax type integrable flows is obtaned.
Takashi Takebe - One of the best experts on this subject based on the ideXlab platform.
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Bosonization and integral Representation of Solutions of the Knizhnik-Zamolodchikov-Bernard equations
Communications in Mathematical Physics, 1999Co-Authors: Kuroki, Takashi TakebeAbstract:We construct an integral Representation of Solutions of the Knizhnik-Zamolodchikov-Bernard equations, using the Wakimoto modules.
Dumitru Baleanu - One of the best experts on this subject based on the ideXlab platform.
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Representation of Solutions for sturm liouville eigenvalue problems with generalized fractional derivative
Chaos, 2020Co-Authors: Ramazan Ozarslan, Erdal Bas, Dumitru BaleanuAbstract:We analyze fractional Sturm-Liouville problems with a new generalized fractional derivative in five different forms. We investigate the Representation of Solutions by means of ρ-Laplace transform for generalized fractional Sturm-Liouville initial value problems. Finally, we examine eigenfunctions and eigenvalues for generalized fractional Sturm-Liouville boundary value problems. All results obtained are compared with simulations in detail under different α fractional orders and real ρ values.
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Representation of Solutions for Sturm–Liouville eigenvalue problems with generalized fractional derivative
Chaos (Woodbury N.Y.), 2020Co-Authors: Ramazan Ozarslan, Erdal Bas, Dumitru BaleanuAbstract:We analyze fractional Sturm-Liouville problems with a new generalized fractional derivative in five different forms. We investigate the Representation of Solutions by means of ρ-Laplace transform for generalized fractional Sturm-Liouville initial value problems. Finally, we examine eigenfunctions and eigenvalues for generalized fractional Sturm-Liouville boundary value problems. All results obtained are compared with simulations in detail under different α fractional orders and real ρ values.
Erdal Bas - One of the best experts on this subject based on the ideXlab platform.
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Representation of Solutions for sturm liouville eigenvalue problems with generalized fractional derivative
Chaos, 2020Co-Authors: Ramazan Ozarslan, Erdal Bas, Dumitru BaleanuAbstract:We analyze fractional Sturm-Liouville problems with a new generalized fractional derivative in five different forms. We investigate the Representation of Solutions by means of ρ-Laplace transform for generalized fractional Sturm-Liouville initial value problems. Finally, we examine eigenfunctions and eigenvalues for generalized fractional Sturm-Liouville boundary value problems. All results obtained are compared with simulations in detail under different α fractional orders and real ρ values.
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Representation of Solutions for Sturm–Liouville eigenvalue problems with generalized fractional derivative
Chaos (Woodbury N.Y.), 2020Co-Authors: Ramazan Ozarslan, Erdal Bas, Dumitru BaleanuAbstract:We analyze fractional Sturm-Liouville problems with a new generalized fractional derivative in five different forms. We investigate the Representation of Solutions by means of ρ-Laplace transform for generalized fractional Sturm-Liouville initial value problems. Finally, we examine eigenfunctions and eigenvalues for generalized fractional Sturm-Liouville boundary value problems. All results obtained are compared with simulations in detail under different α fractional orders and real ρ values.
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sturm liouville problem via coulomb type in difference equations
Filomat, 2017Co-Authors: Erdal Bas, Ramazan OzarslanAbstract:We present Sturm-Liouville problem via Coulomb type in difference equations. The Representation of Solutions is found. We proved that these Solutions satisfy the equation. Asymptotic formulas of eigenfunctions are set.