SOLVABILITY OF HYPERBOLIC FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS

被引：13

作者：

Akilandeeswari, Aruchamy ^{[1
]}

Balachandran, Krishnan ^{[1
]}

Annapoorani, Natarajan ^{[1
]}

机构：

[1] Bharathiar Univ, Dept Math, Coimbatore 641046, Tamil Nadu, India

来源：

JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2017年 / 7卷 / 04期

关键词：

Existence and uniqueness; fractional derivatives and integrals; hyperbolic equations; a priori estimates; Adomian decomposition method; DECOMPOSITION METHOD; EXISTENCE;

D O I：

10.11948/2017095

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The main purpose of this paper is to study the existence and uniqueness of solutions for the hyperbolic fractional differential equations with integral conditions. Under suitable assumptions, the results are established by using an energy integral method which is based on constructing an appropriate multiplier. Further we find the solution of the hyperbolic fractional differential equations using Adomian decomposition method. Examples are provided to illustrate the theory.

引用

页码：1570 / 1585

页数：16

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