A Novel Integral Operator Transform and Its Application to Some FODE and FPDE with Some Kind of Singularities

被引:15
作者
Atangana, Abdon [1 ]
Kilicman, Adem [2 ,3 ]
机构
[1] Univ Orange Free State, Inst Groundwater Studies, Fac Nat & Agr Sci, ZA-9300 Bloemfontein, South Africa
[2] Univ Putra Malaysia, Dept Math, Serdang 43400, Selangor, Malaysia
[3] Univ Putra Malaysia, Inst Math Res, Serdang 43400, Selangor, Malaysia
关键词
D O I
10.1155/2013/531984
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
We introduced a novel integral transform operator. We proved the existence and the uniqueness of the relatively new operator. We presented some useful properties of the new operator. We presented the application of this operator for solving some kind of fractional ordinary and partial differential equation containing some kind of singularity.
引用
收藏
页数:7
相关论文
共 37 条
[1]  
[Anonymous], 2006, THEORY APPL FRACTION
[2]  
[Anonymous], J EARTH SCI CLIMATIC
[3]  
[Anonymous], 1999, MATH SCI ENG
[4]  
[Anonymous], ABSTR APPL AN
[5]  
[Anonymous], LAPLACE TRANSFORMS P
[6]  
[Anonymous], ADV DIFFERENCE EQUAT
[7]  
[Anonymous], 2015, INF SCI LETT, DOI DOI 10.12785/ISL/010201
[8]  
[Anonymous], PRODUCTS RANDOM VARI
[9]  
[Anonymous], 2013, ABSTR APPL ANAL
[10]  
[Anonymous], 1998, HDB INTEGRAL EQUATIO