A fractional boundary value problem with separated boundary conditions

Michael Ackerman; Min Wang; Grant Yost

A fractional boundary value problem with separated boundary conditions

Michael Ackerman, Min Wang, Grant Yost

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

Abstract

In this paper, the authors study a nonlinear fractional boundary value problem consisting of the equation (Equation presented) and a set of separated boundary conditions. The associated Green's function is derived in terms of the generalized Mittag-Leffler function. Then criteria on the existence and uniqueness of solutions are established based on it.

Original language	English (US)
Pages (from-to)	1-12
Number of pages	12
Journal	Panamerican Mathematical Journal
Volume	25
Issue number	2
State	Published - 2015
Externally published	Yes

All Science Journal Classification (ASJC) codes

Mathematics(all)

Cite this

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title = "A fractional boundary value problem with separated boundary conditions",

abstract = "In this paper, the authors study a nonlinear fractional boundary value problem consisting of the equation (Equation presented) and a set of separated boundary conditions. The associated Green's function is derived in terms of the generalized Mittag-Leffler function. Then criteria on the existence and uniqueness of solutions are established based on it.",

author = "Michael Ackerman and Min Wang and Grant Yost",

note = "Funding Information: The research by Michael Ackerman and Grant Yost was conducted as part of a 2014 Research Experience for Undergraduates at the University of Tennessee at Chattanooga that was supported by NSF Grant DMS-1261308.",

year = "2015",

language = "English (US)",

volume = "25",

pages = "1--12",

journal = "Panamerican Mathematical Journal",

issn = "1064-9735",

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T1 - A fractional boundary value problem with separated boundary conditions

AU - Ackerman, Michael

AU - Wang, Min

AU - Yost, Grant

N1 - Funding Information: The research by Michael Ackerman and Grant Yost was conducted as part of a 2014 Research Experience for Undergraduates at the University of Tennessee at Chattanooga that was supported by NSF Grant DMS-1261308.

PY - 2015

Y1 - 2015

N2 - In this paper, the authors study a nonlinear fractional boundary value problem consisting of the equation (Equation presented) and a set of separated boundary conditions. The associated Green's function is derived in terms of the generalized Mittag-Leffler function. Then criteria on the existence and uniqueness of solutions are established based on it.

AB - In this paper, the authors study a nonlinear fractional boundary value problem consisting of the equation (Equation presented) and a set of separated boundary conditions. The associated Green's function is derived in terms of the generalized Mittag-Leffler function. Then criteria on the existence and uniqueness of solutions are established based on it.

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M3 - Article

AN - SCOPUS:84983329107

SN - 1064-9735

VL - 25

SP - 1

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JO - Panamerican Mathematical Journal

JF - Panamerican Mathematical Journal

IS - 2

ER -

A fractional boundary value problem with separated boundary conditions

Abstract

All Science Journal Classification (ASJC) codes

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