EXISTENCE OF SOLUTION FOR A BOUNDARY VALUE PROBLEM OF FRACTIONAL ORDER

doi:10.1016/S0252-9602(06)60044-1

数学物理学报(英文版)

EXISTENCE OF SOLUTION FOR A BOUNDARY VALUE PROBLEM OF FRACTIONAL ORDER

张淑琴

中国矿业大学数学系, 北京 100083

收稿日期:2003-05-26 修回日期:2003-11-07 出版日期:2006-04-20 发布日期:2006-04-20
通讯作者: 张淑琴
基金资助:
Supported by the National 973-Project from MOST and Trans-Century Training Programme Foundation for the Talents by Ministry of Education and the Postdoctoral Foundation of China.

EXISTENCE OF SOLUTION FOR A BOUNDARY VALUE PROBLEM OF FRACTIONAL ORDER

Zhang Shuqin

Department of Mathematics, China University of Mining and Technology, Beijing 100083, China

Received:2003-05-26 Revised:2003-11-07 Online:2006-04-20 Published:2006-04-20
Contact: Zhang Shuqin

摘要/Abstract

摘要：

This article considers the existence of solution for a boundary value problem of fractional order, involving Caputo's derivative

$\left\{ \begin {array}{l} _0^{C}D_t^\delta u(t) =g(t,u(t)),\quad 0u(0)=\alpha\neq 0,\quad u(1)=\beta\neq 0. \end{array} \right.$

关键词: Boundary value, Laplace transform, Mittage-Leffler function, fractional derivative, Caputo's derivative, fixed point, cone

Abstract:

This article considers the existence of solution for a boundary value problem of fractional order, involving Caputo's derivative

$\left\{ \begin {array}{l} _0^{C}D_t^\delta u(t) =g(t,u(t)),\quad 0u(0)=\alpha\neq 0,\quad u(1)=\beta\neq 0. \end{array} \right.$

Key words: Boundary value, Laplace transform, Mittage-Leffler function, fractional derivative, Caputo's derivative, fixed point, cone

中图分类号:

34B15

张淑琴. EXISTENCE OF SOLUTION FOR A BOUNDARY VALUE PROBLEM OF FRACTIONAL ORDER[J]. 数学物理学报(英文版), 2006, 26(2): 220-228.

Zhang Shuqin. EXISTENCE OF SOLUTION FOR A BOUNDARY VALUE PROBLEM OF FRACTIONAL ORDER[J]. Acta mathematica scientia,Series B, 2006, 26(2): 220-228.

参考文献

Metrics

Viewed

Full text

756

HTML			PDF

Just accepted	Online first	Issue	Just accepted	Online first	Issue
0	0	0	756	0	0

From	Others	local

Times	12	744
Rate	2%	98%

Abstract

149

Just accepted	Online first	Issue

149	0	0

Cited

Shared

Discussed

[1]	Janusz BRZDȨK, Krzysztof CIEPLINSKI. ON A FIXED POINT THEOREM IN 2-BANACH SPACES AND SOME OF ITS APPLICATIONS[J]. 数学物理学报(英文版), 2018, 38(2): 377-390.
[2]	宋威, 李林. CONTINUOUSLY DECREASING SOLUTIONS FOR A GENERAL ITERATIVE EQUATION[J]. 数学物理学报(英文版), 2018, 38(1): 177-186.
[3]	Hassan Eltayeb GADAIN. SOLVING COUPLED PSEUDO-PARABOLIC EQUATION USING A MODIFIED DOUBLE LAPLACE DECOMPOSITION METHOD[J]. 数学物理学报(英文版), 2018, 38(1): 333-346.
[4]	Iz-iddine EL-FASSI, Janusz BRZDȨK, Abdellatif CHAHBI, Samir KABBAJ. ON HYPERSTABILITY OF THE BIADDITIVE FUNCTIONAL EQUATION[J]. 数学物理学报(英文版), 2017, 37(6): 1727-1739.
[5]	兰双婷, 陈宗煊. PROPERTIES OF DIFFERENCE PAINLEVÉ IV EQUATIONS[J]. 数学物理学报(英文版), 2017, 37(6): 1830-1840.
[6]	迟晓妮, 韦洪锦, 万仲平, 朱志斌. SMOOTHING NEWTON ALGORITHM FOR THE CIRCULAR CONE PROGRAMMING WITH A NONMONOTONE LINE SEARCH[J]. 数学物理学报(英文版), 2017, 37(5): 1262-1280.
[7]	Alberto CABADA, Nikolay D. DIMITROV. EXISTENCE OF SOLUTIONS OF NONLOCAL PERTURBATIONS OF DIRICHLET DISCRETE NONLINEAR PROBLEMS[J]. 数学物理学报(英文版), 2017, 37(4): 911-926.
[8]	侯飞. ON THE GLOBAL EXISTENCE OF SMOOTH SOLUTIONS TO THE MULTI-DIMENSIONAL COMPRESSIBLE EULER EQUATIONS WITH TIME-DEPENDING DAMPING IN HALF SPACE[J]. 数学物理学报(英文版), 2017, 37(4): 949-964.
[9]	肖羽, 范恩贵, 徐建. THE FOKAS-LENELLS EQUATION ON THE FINITE INTERVAL[J]. 数学物理学报(英文版), 2017, 37(3): 852-876.
[10]	于海波. GLOBAL REGULARITY TO THE 2D INCOMPRESSIBLE MHD WITH MIXED PARTIAL DISSIPATION AND MAGNETIC DIFFUSION IN A BOUNDED DOMAIN[J]. 数学物理学报(英文版), 2017, 37(2): 395-404.
[11]	秦小龙, Sun Young CHO. CONVERGENCE ANALYSIS OF A MONOTONE PROJECTION ALGORITHM IN REFLEXIVE BANACH SPACES[J]. 数学物理学报(英文版), 2017, 37(2): 488-502.
[12]	Mohammed D. KASSIM, Khaled M. FURATI, Nasser-eddine TATAR. NON-EXISTENCE FOR FRACTIONALLY DAMPED FRACTIONAL DIFFERENTIAL PROBLEMS[J]. 数学物理学报(英文版), 2017, 37(1): 119-130.
[13]	Nermina MUJAKOVIC, Nelida CRNJARIC-ZIC. GLOBAL SOLUTION TO 1D MODEL OF A COMPRESSIBLE VISCOUS MICROPOLAR HEAT-CONDUCTING FLUID WITH A FREE BOUNDARY[J]. 数学物理学报(英文版), 2016, 36(6): 1541-1576.
[14]	Bashir AHMAD, Sotiris K. NTOUYAS, Jessada TARIBOON. A NONLOCAL HYBRID BOUNDARY VALUE PROBLEM OF CAPUTO FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS[J]. 数学物理学报(英文版), 2016, 36(6): 1631-1640.
[15]	Yaghoub JALILIAN. FRACTIONAL INTEGRAL INEQUALITIES AND THEIR APPLICATIONS TO FRACTIONAL DIFFERENTIAL EQUATIONS[J]. 数学物理学报(英文版), 2016, 36(5): 1317-1330.

EXISTENCE OF SOLUTION FOR A BOUNDARY VALUE PROBLEM OF FRACTIONAL ORDER

EXISTENCE OF SOLUTION FOR A BOUNDARY VALUE PROBLEM OF FRACTIONAL ORDER

PDF (PC)

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 15

Metrics

本文评价

推荐阅读 10