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Abstract In this paper we obtain new estimates of the Hadamard fractional derivatives of a function at its extreme points. The extremum principle is then applied to show that the… Click to show full abstract
Abstract In this paper we obtain new estimates of the Hadamard fractional derivatives of a function at its extreme points. The extremum principle is then applied to show that the initial-boundary-value problem for linear and nonlinear time-fractional diffusion equations possesses at most one classical solution and this solution depends continuously on the initial and boundary conditions. The extremum principle for an elliptic equation with a fractional Hadamard derivative is also proved.
Keywords:
extremum principle;
hadamard derivatives;
principle hadamard;
hadamard;
derivatives application;
application nonlinear
Journal Title: Fractional Calculus and Applied Analysis
Year Published: 2019
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Journal Title: Fractional Calculus and Applied Analysis
Year Published: 2019
Link to full text (if available)
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recommendations!