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The Laplace Transform on Time Scales

BOOK CHAPTER published 2018 in Fractional Dynamic Calculus and Fractional Dynamic Equations on Time Scales

Authors: Svetlin G. Georgiev

Generalized Laplace Transform for Fractional Differintegrals

BOOK CHAPTER published 2011 in Functional Fractional Calculus

Authors: Shantanu Das

Generalized fractional calculus on time scales based on the generalized Laplace transform

JOURNAL ARTICLE published March 2024 in Chaos, Solitons & Fractals

Research funded by Fundamental Research Funds for the Central Universities (31920230174) | Gansu Provincial Natural Science Foundation (22JR5RA184)

Authors: Xin Li | Weiyuan Ma | Xionggai Bao

Inequalities for Generalized Riemann–Liouville Fractional Integrals

BOOK CHAPTER published September 2023 in Advances on Fractional Dynamic Inequalities on Time Scales

Generalized Fractional-Order Discrete-Time Integrator

JOURNAL ARTICLE published 2017 in Complexity

Research funded by Bialystok University of Technology (S/WI/1/2016,501∖12-24-1-5437)

Authors: Dorota Mozyrska | Piotr Ostalczyk

Numerical Inversion of Laplace Transform via Wavelet Operational Matrix and Its Applications to Fractional Differential Equations

JOURNAL ARTICLE published February 2022 in International Journal of Applied and Computational Mathematics

Authors: R. Aruldoss | K. Balaji

Analysis of Solutions of the Integro-Differential Equations with Generalized Liouville–Caputo Fractional Derivative by $$rho $$-Laplace Transform

JOURNAL ARTICLE published June 2022 in International Journal of Applied and Computational Mathematics

Authors: Akbar Zada | Shaleena Shaleena | Manzoor Ahmad

Representations of abstract resolvent families on time scales via Laplace Transform

JOURNAL ARTICLE published February 2024 in Fractional Calculus and Applied Analysis

Authors: Rogelio Grau | Aldo Pereira

The Laplace Transform on Time Scales

BOOK CHAPTER published 2024 in Boundary Value Problems

Authors: Svetlin Georgiev

Parameterizing Generalized Laguerre Functions to Compute the Inverse Laplace Transform of Fractional Order Transfer Functions

JOURNAL ARTICLE published 1 June 2018 in MENDEL

Authors: Vilem Karsky

Modified optimal energy and initial memory of fractional continuous-time linear systems

JOURNAL ARTICLE published March 2011 in Signal Processing

Authors: Dorota Mozyrska | Delfim F.M. Torres

Solutions of systems with the Caputo–Fabrizio fractional delta derivative on time scales

JOURNAL ARTICLE published May 2019 in Nonlinear Analysis: Hybrid Systems

Research funded by Bialystok University of Technology, Poland (S/WI/1/2016)

Authors: Dorota Mozyrska | Delfim F.M. Torres | Małgorzata Wyrwas

FRACTIONAL KINETIC EQUATIONS INVOLVING GENERALIZED V-FUNCTION VIA LAPLACE TRANSFORM

JOURNAL ARTICLE published 26 May 2021 in Advances in Mathematics: Scientific Journal

Authors: Wagdi F.S. Ahmed | D.D. Pawar | W.D. Patil

Inequalities and majorisations for the Riemann-Stieltjes integral on time scales

JOURNAL ARTICLE published 2011 in Mathematical Inequalities & Applications

Authors: Dorota Mozyrska | Ewa Pawłuszewicz | Delfim F. M. Torres

Generalized Laplace Transform for Fractional Differintegrals

BOOK CHAPTER published in Functional Fractional Calculus for System Identification and Controls

Authors: Shantanu Das

Generalized fractional inequalities of the Hermite-Hadamard type via new Katugampola generalized fractional integrals

JOURNAL ARTICLE published 30 December 2022 in Carpathian Mathematical Publications

Authors: M. Omaba

Approximation of Laplace transform of fractional derivatives via Clenshaw–Curtis integration

JOURNAL ARTICLE published April 2011 in International Journal of Computer Mathematics

Authors: S. M. Hashemiparast | H. Fallahgoul

The Inverse Bilateral Laplace Transform

BOOK CHAPTER published 2009 in Linear Time-Invariant Systems

Approximate Solutions of Time-Fractional Swift–Hohenberg Equation via Natural Transform Decomposition Method

JOURNAL ARTICLE published June 2023 in International Journal of Applied and Computational Mathematics

Authors: K. Pavani | K. Raghavendar

Right Fractional Sobolev Space via Riemann–Liouville Derivatives on Time Scales and an Application to Fractional Boundary Value Problem on Time Scales

JOURNAL ARTICLE published 19 February 2022 in Fractal and Fractional

Research funded by National Natural Science Foundation of China (11861072)

Authors: Xing Hu | Yongkun Li