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Numerical analysis of a new volterra integro-differential equation involving fractal-fractional operators
- Source :
- Chaos, Solitons & Fractals. 130:109396
- Publication Year :
- 2020
- Publisher :
- Elsevier BV, 2020.
-
Abstract
- In this paper, we suggest a new integro-differential equation by utilizing from the concept of fractal-fractional derivative and integral newly introduced by Atangana. We offer that under which conditions the solution of the suggested equation is exist and unique benefitting from Banach fixed-point theorem. Also, we construct a new numerical scheme for the numerical solution of our problem and we give numerical simulation and illustrations for different values of fractional order α and fractal order β. That’s why, this study will guide for researchers significantly in theory and applications.
- Subjects :
- Computer simulation
General Mathematics
Applied Mathematics
Numerical analysis
General Physics and Astronomy
Statistical and Nonlinear Physics
Derivative
01 natural sciences
010305 fluids & plasmas
Fractal
Integro-differential equation
Scheme (mathematics)
0103 physical sciences
Applied mathematics
Order (group theory)
010301 acoustics
Mathematics
Subjects
Details
- ISSN :
- 09600779
- Volume :
- 130
- Database :
- OpenAIRE
- Journal :
- Chaos, Solitons & Fractals
- Accession number :
- edsair.doi...........837d39bd5fbc40a867ed75fbd8df97a8