On the fundamental solution of the Cauchy problem for time fractional diffusion equation on the sphere

Malaysian Journal of Mathematical Sciences

Volumn 6, Issue 1, 2012, Pages 105-112

  Rakhimov, Abdumalik ^a   Ahmedov, Anvarjon ^a  

^a UNIVERSITY PUTRA MALAYSIA   (Malaysia)

Author keywords

Cauchy problem; Diffusion; Fundamental solution; Sphere

Indexed keywords

EID: 84857521343     PISSN: 18238343     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (7)

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3. Dubinskij, Yu. A. 1981. On a method of solving partial differential equations. Sov. Math. Dokl. 23: 583-587.
4. Rakhimov, A. A. 2006. Localization conditions of spectral expansions of distributions connected with Laplace operator on sphere. Acta NUUz. 2: 47-49.
5. Samko, S. G., Kilbas, A. A. and Marichev, O. I. 1993. Fractional integrals and derivatives: Theory and applications. Switzerland and Philadelphia, Pa., USA: Gordon and Breach Science Publishers.
6. Tran Duc Van. 1989. On the pseudodifferential operators with real analytic symbol and their applications. J. Fac. Sci. Univ. Tokyo, IA, Math. 36: 803-825.
7. Umarov, S. R. 1986. Boundary value problems for differential operator and pseudodifferential equations. Izv. Acad. Sci. RU. 4: 38-42 (in Russian).