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Differential and integral operators with constant fractional order and variable fractional dimension
- Source :
- Chaos, Solitons & Fractals. 127:226-243
- Publication Year :
- 2019
- Publisher :
- Elsevier BV, 2019.
-
Abstract
- The complexities of nature have pushed humankind to construct complex mathematical formula that can be used to capture such natural occurrence. Very recently the concept differential and integral operators with fractional order and fractal dimension were introduced. The concept has opened new doors for investigations. In this paper, we present a step forward, where the constant fractal dimension is replaced by variable dimension. We present in detail some properties of this new operators, we suggested a new numerical approach that can be used to solve differential and integral equations associate to this operators. We presented some examples and simulations are presented to underpin the strength of the new operators. We strongly believe that this paper will open many new doors of investigation toward modeling real world problems.
- Subjects :
- Computer science
General Mathematics
Applied Mathematics
General Physics and Astronomy
Order (ring theory)
Statistical and Nonlinear Physics
01 natural sciences
Fractal dimension
Integral equation
010305 fluids & plasmas
Dimension (vector space)
0103 physical sciences
Doors
Applied mathematics
Differential (infinitesimal)
Constant (mathematics)
010301 acoustics
Variable (mathematics)
Subjects
Details
- ISSN :
- 09600779
- Volume :
- 127
- Database :
- OpenAIRE
- Journal :
- Chaos, Solitons & Fractals
- Accession number :
- edsair.doi...........c02a088e03f4cffe6bd53bfb4bc3b01d