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Fractal Fract 2017, 1(1), 5; doi:10.3390/fractalfract1010005

Dynamics and Stability Results for Hilfer Fractional Type Thermistor Problem

1
Department of Mathematics, Sri Ramakrishna Mission Vidyalaya College of Arts and Science, Coimbatore 641020, India
2
Department of Mathematics, Embry-Riddle Aeronautical University, Daytona Beach, FL 32114, USA
*
Author to whom correspondence should be addressed.
Received: 22 August 2017 / Revised: 5 September 2017 / Accepted: 6 September 2017 / Published: 9 September 2017
(This article belongs to the Special Issue The Craft of Fractional Modelling in Science and Engineering)
View Full-Text   |   Download PDF [284 KB, uploaded 14 September 2017]

Abstract

In this paper, we study the dynamics and stability of thermistor problem for Hilfer fractional type. Classical fixed point theorems are utilized in deriving the results. View Full-Text
Keywords: nonlocal thermistor problem; Hilfer fractional derivative; existence; Ulam stability; fixed point nonlocal thermistor problem; Hilfer fractional derivative; existence; Ulam stability; fixed point
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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MDPI and ACS Style

Vivek, D.; Kanagarajan, K.; Sivasundaram, S. Dynamics and Stability Results for Hilfer Fractional Type Thermistor Problem. Fractal Fract 2017, 1, 5.

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