Existence of solution to a local fractional nonlinear differential equation
DOI10.1016/j.cam.2016.01.014zbMath1354.34012arXiv1601.02126OpenAlexW2237272331WikidataQ57650422 ScholiaQ57650422MaRDI QIDQ329757
Benaoumeur Bayour, Delfim F. M. Torres
Publication date: 21 October 2016
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1601.02126
existence of solutionsinitial value problemsfractional differential equationsconformable fractional derivativeslocal fractional derivatives
Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Fractional ordinary differential equations (34A08)
Related Items (48)
Cites Work
- What is a fractional derivative?
- On conformable fractional calculus
- Fractional Newton mechanics with conformable fractional derivative
- Three-point boundary value problems for conformable fractional differential equations
- Existence theorems for first-order equations on time scales with \(\Delta \)-Carathéodory functions
- Boundary value problems for systems of second-order dynamic equations on time scales with \(\Delta \)-Carathéodory functions
- Systems of first order inclusions on time scales
- Boundary and periodic value problems for systems of nonlinear second order differential equations
- The method of lower and upper solutions for fourth-order two-point boundary value problems
- A new definition of fractional derivative
- Fractional variation of Hölderian functions
- Extremal solutions for third-order nonlinear problems with upper and lower solutions in reversed order
- On the lower and upper solution method for higher order functional boundary value problems
- Second Order Dynamic Inclusions
- Fractional-order boundary value problem with Sturm-Liouville boundary conditions
- A New Approach to Generalized Fractional Derivatives
- Application of the Local Fractional Fourier Series to Fractal Signals
- Properties of the Katugampola fractional derivative with potential application in quantum mechanics
- Existence of solution to a nonlinear first-order dynamic equation on time scales
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