Existence and uniqueness results on time scales for fractional nonlocal thermistor problem in the conformable sense

P. Agarwal; M. R. Sidi Ammi; J. Asad

doi:10.1186/s13662-021-03319-7

Existence and uniqueness results on time scales for fractional nonlocal thermistor problem in the conformable sense

P. Agarwal
, M. R. Sidi Ammi
, J. Asad

Nonlinear Dynamic Research Centre (NDRC)

International College of Engineering
International Center for Basic and Applied Sciences
Harish Chandra Research Institute
University of Moulay Ismail
Palestine Technical University, Kadoorie

Research output: Contribution to journal › Article › peer-review

25 Scopus citations

Abstract

We study a conformable fractional nonlocal thermistor problem on time scales. Under an appropriate nonrestrictive condition on the resistivity function, we establish existence and uniqueness results. The proof is based on the use of Schauder’s point fixed theorem.

Original language	English
Article number	162
Journal	Advances in Difference Equations
Volume	2021
Issue number	1
DOIs	https://doi.org/10.1186/s13662-021-03319-7
State	Published - Dec 2021

Keywords

Conformable fractional derivative
Existence and uniqueness
Fixed point theorem
Time scale calculus

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10.1186/s13662-021-03319-7

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title = "Existence and uniqueness results on time scales for fractional nonlocal thermistor problem in the conformable sense",

abstract = "We study a conformable fractional nonlocal thermistor problem on time scales. Under an appropriate nonrestrictive condition on the resistivity function, we establish existence and uniqueness results. The proof is based on the use of Schauder{\textquoteright}s point fixed theorem.",

keywords = "Conformable fractional derivative, Existence and uniqueness, Fixed point theorem, Time scale calculus",

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AU - Sidi Ammi, M. R.

AU - Asad, J.

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N2 - We study a conformable fractional nonlocal thermistor problem on time scales. Under an appropriate nonrestrictive condition on the resistivity function, we establish existence and uniqueness results. The proof is based on the use of Schauder’s point fixed theorem.

AB - We study a conformable fractional nonlocal thermistor problem on time scales. Under an appropriate nonrestrictive condition on the resistivity function, we establish existence and uniqueness results. The proof is based on the use of Schauder’s point fixed theorem.

KW - Conformable fractional derivative

KW - Existence and uniqueness

KW - Fixed point theorem

KW - Time scale calculus

UR - https://www.scopus.com/pages/publications/85102371074

U2 - 10.1186/s13662-021-03319-7

DO - 10.1186/s13662-021-03319-7

M3 - Article

AN - SCOPUS:85102371074

SN - 1687-1839

VL - 2021

JO - Advances in Difference Equations

JF - Advances in Difference Equations

IS - 1

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ER -

Existence and uniqueness results on time scales for fractional nonlocal thermistor problem in the conformable sense

Abstract

Keywords

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