Oscillatory Behaviour of the Nonlinear Damped Fractional Partial Dynamic Equation | Zendy

R. Ramesh | Zendy; S. Harikrishnan | Zendy; P. Prakash | Zendy; YongKi Ma | Zendy

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Oscillatory Behaviour of the Nonlinear Damped Fractional Partial Dynamic Equation

Author(s) -

R. Ramesh,

S. Harikrishnan,

P. Prakash,

YongKi Ma

Publication year - 2022

Publication title -

advances in mathematical physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.283

H-Index - 23

eISSN - 1687-9139

pISSN - 1687-9120

DOI - 10.1155/2022/7010695

Subject(s) - mathematics , partial differential equation , oscillation (cell signaling) , mathematical analysis , nonlinear system , riccati equation , dynamic equation , boundary (topology) , boundary value problem , neumann boundary condition , first order partial differential equation , dirichlet boundary condition , transformation (genetics) , order (exchange) , physics , genetics , quantum mechanics , biology , biochemistry , chemistry , finance , gene , economics

In this paper, a partial dynamic equation of fractional order is considered with Neumann and Dirichlet boundary conditions, and we studied the oscillation properties of the fractional partial dynamic equation on time scales. Riccati transformation technique is used to establish oscillation criteria for the fractional partial dynamic equation. The obtained results are verified with examples.

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