A fractional boundary value problem with dirichlet boundary condition

John R. Graef; Lingju Kong; Qingkai Kong; Min Wang

A fractional boundary value problem with dirichlet boundary condition

John R. Graef
, Lingju Kong
, Qingkai Kong
, Min Wang

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 D 0+u + aD 0+u = w(t)f(u), 1 < 2, 0 1, and the Dirichlet boundary condition. The associated Green's function is derived in terms of the generalized Mittag-Leffler function, and the existence of solutions is established based on it.

Original language	English (US)
Pages (from-to)	497-504
Number of pages	8
Journal	Communications in Applied Analysis
Volume	19
State	Published - 2015
Externally published	Yes

All Science Journal Classification (ASJC) codes

Analysis
Numerical Analysis
Modeling and Simulation
Applied Mathematics

Cite this

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title = "A fractional boundary value problem with dirichlet boundary condition",

abstract = "In this paper, the authors study a nonlinear fractional boundary value problem consisting of the equation D 0+u + aD 0+u = w(t)f(u), 1 < 2, 0 1, and the Dirichlet boundary condition. The associated Green's function is derived in terms of the generalized Mittag-Leffler function, and the existence of solutions is established based on it.",

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T1 - A fractional boundary value problem with dirichlet boundary condition

AU - Graef, John R.

AU - Kong, Lingju

AU - Kong, Qingkai

AU - Wang, Min

N1 - Publisher Copyright: © Dynamic Publishers, Inc.

PY - 2015

Y1 - 2015

N2 - In this paper, the authors study a nonlinear fractional boundary value problem consisting of the equation D 0+u + aD 0+u = w(t)f(u), 1 < 2, 0 1, and the Dirichlet boundary condition. The associated Green's function is derived in terms of the generalized Mittag-Leffler function, and the existence of solutions is established based on it.

AB - In this paper, the authors study a nonlinear fractional boundary value problem consisting of the equation D 0+u + aD 0+u = w(t)f(u), 1 < 2, 0 1, and the Dirichlet boundary condition. The associated Green's function is derived in terms of the generalized Mittag-Leffler function, and the existence of solutions is established based on it.

UR - https://www.scopus.com/pages/publications/84979517305

UR - https://www.scopus.com/pages/publications/84979517305#tab=citedBy

M3 - Article

AN - SCOPUS:84979517305

SN - 1083-2564

VL - 19

SP - 497

EP - 504

JO - Communications in Applied Analysis

JF - Communications in Applied Analysis

ER -

A fractional boundary value problem with dirichlet boundary condition

Abstract

All Science Journal Classification (ASJC) codes

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