Existence of Solution to a Local Fractional Nonlinear Differential Equation
arXiv:1601.02126 · doi:10.1016/j.cam.2016.01.014
Abstract
We prove existence of solution to a local fractional nonlinear differential equation with initial condition. For that we introduce the notion of tube solution.
This is a preprint of a paper whose final and definite form will be published in Journal of Computational and Applied Mathematics, ISSN: 0377-0427. Paper Submitted 04/Jul/2015; Revised 14/Dec/2015 and 03/Jan/2016; Accepted for publication 08/Jan/2016
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- A critical analysis of the conformable derivative
- Variational Calculus with Conformable Fractional Derivatives
- Lyapunov inequality for a boundary value problem involving conformable derivative
- Precise interpretation of the conformable fractional derivative
- Existence of solution to a nonlocal conformable fractional thermistor problem
- A Truly Conformable Calculus on Time Scales
- Local and Non-local Fractional Porous Media Equations
- Existence of positive solutions for a class of conformable fractional differential equations with integral boundary conditions and a parameter