Semilinear parabolic diffusion systems on the sphere with Caputo-Fabrizio operator

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Advances in the Theory of Nonlinear Analysis and its Application
Volume:6 Issue:2
Semilinear parabolic diffusion systems on the sphere with Caputo-Fabrizio operator

Semilinear parabolic diffusion systems on the sphere with Caputo-Fabrizio operator

Pages : 148-156

View : 10 | Download : 12

Publication Date : 2022-06-30

Article Type : Research Paper

Abstract :PDEs on spheres have many important applications in physical phenomena, oceanography and meteorology, geophysics. In this paper, we study the parabolic systems with Caputo-Fabrizio derivative. In order to establish the existence of the mild solution, we use the Banach fixed point theorem and some analysis of Fourier series associated with several evaluations of the spherical harmonics function. Some of the techniques on upper and lower bounds of the Mittag-Lefler functions are also applied. This is one of the first research results on the systems of parabolic diffusion on the sphere.
Keywords : parabolic systems, Banach fixed point theory, regularity, parabolic systems, Banach fixed point theory, regularity

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