On the existence of solutions of a three steps crisis integro-differential equation

Dumitru Baleanu; Khadijeh Ghafarnezhad; Shahram Rezapour; Mehdi Shabibi

doi:10.1186/s13662-018-1583-1

Advances in Difference Equations (Apr 2018)

On the existence of solutions of a three steps crisis integro-differential equation

Dumitru Baleanu,
Khadijeh Ghafarnezhad,
Shahram Rezapour,
Mehdi Shabibi

Affiliations

Dumitru Baleanu: Department of Mathematics, Cankaya University
Khadijeh Ghafarnezhad: Department of Mathematics, Azarbaijan Shahid Madani University
Shahram Rezapour: Department of Mathematics, Azarbaijan Shahid Madani University
Mehdi Shabibi: Department of Mathematics, Islamic Azad University, Mehran Branch

DOI: https://doi.org/10.1186/s13662-018-1583-1
Journal volume & issue: Vol. 2018, no. 1
pp. 1 – 20

Abstract

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Abstract There are many natural phenomena including a crisis (such as a spate or contest) which could be described in three steps. We investigate the existence of solutions for a three step crisis integro-differential equation. We suppose that the second step is a point-wise defined singular fractional differential equation.

Published in Advances in Difference Equations

ISSN: 1687-1839 (Print); 1687-1847 (Online)
Publisher: SpringerOpen
Country of publisher: United Kingdom
LCC subjects: Science: Mathematics
Website: http://www.advancesindifferenceequations.com/

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