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Modeling the heat flow equation with fractional-fractal differentiation
- Source :
- Chaos, Solitons & Fractals. 128:83-91
- Publication Year :
- 2019
- Publisher :
- Elsevier BV, 2019.
-
Abstract
- In this paper, modeling the heat flow equation with fractional-fractal differentiation is considered. This problem has opened a new viewpoint for modeling the classical and the fractional differentiation. We presented the existence of positive solution of the new model using the fixed-point approach and we established the uniqueness of the positive solution. Finally, we provide an example to illustrate one of the main results.
- Subjects :
- General Mathematics
Applied Mathematics
General Physics and Astronomy
Statistical and Nonlinear Physics
01 natural sciences
010305 fluids & plasmas
Fractional differentiation
Fractal
Numerical approximation
0103 physical sciences
Applied mathematics
Heat equation
Uniqueness
010301 acoustics
Mathematics
Subjects
Details
- ISSN :
- 09600779
- Volume :
- 128
- Database :
- OpenAIRE
- Journal :
- Chaos, Solitons & Fractals
- Accession number :
- edsair.doi...........15933b353d8e0289e48d45125e5576ad