Hyers‐Ulam Stability and Existence of Solutions for Nigmatullin’s Fractional Diffusion Equation

Zhuoyan Gao and JinRong Wang

Advances in Mathematical Physics, 2017, vol. 2017, issue 1

Abstract: We discuss stability of time‐fractional order heat conduction equations and prove the Hyers‐Ulam and generalized Hyers‐Ulam‐Rassias stability of time‐fractional order heat conduction equations via fractional Green function involving Wright function. In addition, an interesting existence result for solution is given.

Date: 2017
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https://doi.org/10.1155/2017/9692685

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2017:y:2017:i:1:n:9692685

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