Cauchy problem for inhomogeneous fractional nonclassical diffusion equation on the sphere

Volume 25, Issue 4, pp 303--311 http://dx.doi.org/10.22436/jmcs.025.04.01
Publication Date: July 03, 2021 Submission Date: January 15, 2021 Revision Date: March 10, 2021 Accteptance Date: April 20, 2021

Authors

L. D. Long - Division of Applied Mathematic, Thu Dau Mot University, Binh Duong province, Viet Nam.


Abstract

Pseudo-parabolic equation on spheres have many important applications in physical phenomena, oceanography and meteorology, geophysics. The main purpose of this paper is to prove the existence and unique solution of the nonlinear pseudo-parabolic equation on the sphere. To do this, we used some analysis of Fourier series associated with several evaluations of the spherical harmonics function. Some of the upper and lower bounds of the Mittag-Lefler functions are also used. This result is one of the first studies of fractional nonclassical diffusion equation on the sphere.


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ISRP Style

L. D. Long, Cauchy problem for inhomogeneous fractional nonclassical diffusion equation on the sphere, Journal of Mathematics and Computer Science, 25 (2022), no. 4, 303--311

AMA Style

Long L. D., Cauchy problem for inhomogeneous fractional nonclassical diffusion equation on the sphere. J Math Comput SCI-JM. (2022); 25(4):303--311

Chicago/Turabian Style

Long, L. D.. "Cauchy problem for inhomogeneous fractional nonclassical diffusion equation on the sphere." Journal of Mathematics and Computer Science, 25, no. 4 (2022): 303--311


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