THERMAL SCIENCE

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Funda Metin Turk

,

Erdal Bas

ENERGY-DEPENDENT FRACTIONAL STURM-LIOUVILLE IMPULSIVE PROBLEM

ABSTRACT
In study, we show the existence and integral representation of solution for energy-dependent fractional Sturm-Liouville impulsive problem of order with α(1,2] impulsive and boundary conditions. An existence theorem is proved for energy-dependent fractional Sturm-Liouville impulsive problem by using Schaefer fixed point theorem. Furthermore, in the last part of the article, an application is given for the problem and visual results are shown by figures.
KEYWORDS
Sturm-Liouville problem, energy dependent, fractional, impulsive condition, Caputo derivative
PAPER SUBMITTED: 2018-10-17
PAPER REVISED: 2018-11-01
PAPER ACCEPTED: 2018-11-07
PUBLISHED ONLINE: 2018-12-16
DOI REFERENCE: https://doi.org/10.2298/TSCI171017338M
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2019, VOLUME 23, ISSUE Supplement 1, PAGES [S139 - S152]
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Energy-dependent fractional Sturm-Liouville impulsive problem

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence