Conformable Laplace transform of fractional differential equations
From MaRDI portal
Publication:2305882
DOI10.3390/axioms7030055zbMath1432.34014OpenAlexW2810987980MaRDI QIDQ2305882
Fernando S. Silva, Marcelo A. Moret, Davidson M. Moreira
Publication date: 20 March 2020
Published in: Axioms (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3390/axioms7030055
Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Fractional ordinary differential equations (34A08)
Related Items (23)
New results on complex conformable integral ⋮ Generalized conformable variational calculus and optimal control problems with variable terminal conditions ⋮ Application of multi-dimensional of conformable Sumudu decomposition method for solving conformable singular fractional coupled Burger's equation ⋮ Theory and Applications of Distinctive Conformable Triple Laplace and Sumudu Transforms Decomposition Methods ⋮ Conformable Sumudu transform of space-time fractional telegraph equation ⋮ An efficient method for the analytical study of linear and nonlinear time-fractional partial differential equations with variable coefficients ⋮ Approximate solution of GCF PDM Schrödinger equation for a symmetrical modified Pöschl-Teller potential by GCF Laplace transform method ⋮ Artificial neural networks with conformable transfer function for improving the performance in thermal and environmental processes ⋮ Manifestation of interval uncertainties for fractional differential equations under conformable derivative ⋮ A novel Elzaki transform homotopy perturbation method for solving time-fractional non-linear partial differential equations ⋮ Tensor product and inverse fractional abstract Cauchy problem ⋮ ANALYSIS OF THE CONFORMABLE TEMPORAL-FRACTIONAL SWIFT–HOHENBERG EQUATION USING A NOVEL COMPUTATIONAL TECHNIQUE ⋮ Conformable fractional derivative in commutative algebras ⋮ Analytical solutions of linear fractional partial differential equations using fractional Fourier transform ⋮ On the observability of conformable linear time-invariant control systems ⋮ Unnamed Item ⋮ Application of conformable Sumudu decomposition method for solving conformable fractional coupled Burger's equation ⋮ Generalized conformable mean value theorems with applications to multivariable calculus ⋮ On Katugampola Fourier transform ⋮ Analytical solutions for the nonlinear partial differential equations using the conformable triple Laplace transform decomposition method ⋮ A GENERALIZED FRACTIONAL POWER SERIES FOR SOLVING NONLINEAR FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS ⋮ Ulam's stability for some linear conformable fractional differential equations ⋮ Numerical investigation of ordinary and partial differential equations with variable fractional order by Bernstein operational matrix
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Existence of solution to a local fractional nonlinear differential equation
- On conformable fractional calculus
- Fractional calculus for scientists and engineers.
- Laplace transform and fractional differential equations
- Recent history of fractional calculus
- No violation of the Leibniz rule. No fractional derivative
- The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- General conformable fractional derivative and its physical interpretation
- A review of definitions for fractional derivatives and integral
- Laplace-Fourier transform of the stretched exponential function: analytic error bounds, double exponential transform, and open-source implementation ``libkww
- A new definition of fractional derivative
- A non-phenomenological model of competition and cooperation to explain population growth behaviors
- Fractional integral inequalities and their applications to fractional differential equations
- Three classes of fractional oscillators
- Introduction to Nonextensive Statistical Mechanics
- Matrix Methods and Fractional Calculus
This page was built for publication: Conformable Laplace transform of fractional differential equations
