Fractional complex transforms for fractional differential equations

Advances in Difference Equations

Rabha W Ibrahim¹ 

[1] Institute of Mathematical Sciences, University Malaya, Kuala Lumpur, Malaysia

关键词: fractional calculus;    fractional differential equations;    Srivastava-Owa fractional operators;    unit disk;    analytic function;    fractional complex transform;    Cauchy differential equation;    Fox-Wright function;   

DOI  :  10.1186/1687-1847-2012-192

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

The fractional complex transform is employed to convert fractional differential equations analytically in the sense of the Srivastava-Owa fractional operator and its generalization in the unit disk. Examples are illustrated to elucidate the solution procedure including the space-time fractional differential equation in complex domain, singular problems and Cauchy problems. Here, we consider analytic solutions in the complex domain. MSC:30C45.

【 授权许可】

CC BY