A nonlinear fractional boundary value problem involving riemann-liouville fractional derivatives of two different orders

John R. Graef; Min Wang; Grant Yost

A nonlinear fractional boundary value problem involving riemann-liouville fractional derivatives of two different orders

John R. Graef, Min Wang, Grant Yost

Mathematics

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

Abstract

The authors consider the nonlinear boundary value problem consisting of the fractional differential equation and the nonhomogeneous boundary conditionsUsing fixed point theory, two theorems on the existence and uniqueness of solutions of the problem are obtained. The splitting approach used here may be useful in proving existence results for other forms of boundary value problems.

Original language	English (US)
Pages (from-to)	93-102
Number of pages	10
Journal	Communications on Applied Nonlinear Analysis
Volume	23
Issue number	4
State	Published - Oct 1 2016

All Science Journal Classification (ASJC) codes

Analysis
Applied Mathematics

Fingerprint Dive into the research topics of 'A nonlinear fractional boundary value problem involving riemann-liouville fractional derivatives of two different orders'. Together they form a unique fingerprint.

Cite this

@article{2acb7496b8cd433fb83c3424bbd80395,

title = "A nonlinear fractional boundary value problem involving riemann-liouville fractional derivatives of two different orders",

abstract = "The authors consider the nonlinear boundary value problem consisting of the fractional differential equation and the nonhomogeneous boundary conditionsUsing fixed point theory, two theorems on the existence and uniqueness of solutions of the problem are obtained. The splitting approach used here may be useful in proving existence results for other forms of boundary value problems.",

author = "Graef, {John R.} and Min Wang and Grant Yost",

year = "2016",

month = oct,

day = "1",

language = "English (US)",

volume = "23",

pages = "93--102",

journal = "Communications on Applied Nonlinear Analysis",

issn = "1074-133X",

publisher = "International Publications",

number = "4",

}

TY - JOUR

T1 - A nonlinear fractional boundary value problem involving riemann-liouville fractional derivatives of two different orders

AU - Graef, John R.

AU - Wang, Min

AU - Yost, Grant

PY - 2016/10/1

Y1 - 2016/10/1

N2 - The authors consider the nonlinear boundary value problem consisting of the fractional differential equation and the nonhomogeneous boundary conditionsUsing fixed point theory, two theorems on the existence and uniqueness of solutions of the problem are obtained. The splitting approach used here may be useful in proving existence results for other forms of boundary value problems.

AB - The authors consider the nonlinear boundary value problem consisting of the fractional differential equation and the nonhomogeneous boundary conditionsUsing fixed point theory, two theorems on the existence and uniqueness of solutions of the problem are obtained. The splitting approach used here may be useful in proving existence results for other forms of boundary value problems.

UR - http://www.scopus.com/inward/record.url?scp=85030846235&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85030846235&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:85030846235

VL - 23

SP - 93

EP - 102

JO - Communications on Applied Nonlinear Analysis

JF - Communications on Applied Nonlinear Analysis

SN - 1074-133X

IS - 4

ER -