FORCED OSCILLATION FOR A CLASS OF FRACTIONAL PARABOLIC PARTIAL DIFFERENTIAL EQUATIONS | Zendy

J. Kavitha | Zendy; V. Sadhasivam | Zendy

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FORCED OSCILLATION FOR A CLASS OF FRACTIONAL PARABOLIC PARTIAL DIFFERENTIAL EQUATIONS

Author(s) -

J. Kavitha,

V. Sadhasivam

Publication year - 2015

Publication title -

journal of advances in mathematics

Language(s) - English

Resource type - Journals

ISSN - 2347-1921

DOI - 10.24297/jam.v11i6.1234

Subject(s) - mathematics , mathematical analysis , oscillation (cell signaling) , bounded function , laplace operator , domain (mathematical analysis) , euclidean space , boundary (topology) , operator (biology) , class (philosophy) , order (exchange) , fractional calculus , neumann boundary condition , partial differential equation , constant (computer programming) , bounded mean oscillation , pure mathematics , biochemistry , chemistry , genetics , finance , repressor , gene , transcription factor , economics , biology , artificial intelligence , computer science , programming language

We investigate the oscillation of class of time fractional partial dierential equationof the formfor (x; t) 2 R+ = G; R+ = [0;1); where is a bounded domain in RN with a piecewisesmooth boundary @ ; 2 (0; 1) is a constant, D +;t is the Riemann-Liouville fractional derivativeof order of u with respect to t and is the Laplacian operator in the Euclidean N- space RNsubject to the Neumann boundary conditionWe will obtain sucient conditions for the oscillation of class of fractional partial dierentialequations by utilizing generalized Riccatti transformation technique and the integral averagingmethod. We illustrate the main results through examples.

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