(p, q)-LAPLACE TRANSFORM

被引:0
作者
Kim, Young Rok [1 ]
Ryoo, Cheon Seoung [2 ]
机构
[1] Hannam Univ, Dept Math, Daejeon 34430, South Korea
[2] Hannam Univ, Dept Math, Daejeon 306791, South Korea
来源
JOURNAL OF APPLIED MATHEMATICS & INFORMATICS | 2018年 / 36卷 / 5-6期
基金
新加坡国家研究基金会;
关键词
(p; q)-Laplace transform; q)-Gamma function; q)-derivative; q)-integral; q)-calculus; q)-exponential functions; q)-trigonometric functions;
D O I
10.14317/jami.2018.505
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper we define a (p, q)-Laplace transform. By using this definition, we obtain many properties including the linearity, scaling, translation, transform of derivatives, derivative of transforms, transform of integrals and so on. Finally, we solve the differential equation using the (p, q)-Laplace transform.
引用
收藏
页码:505 / 519
页数:15
相关论文
共 12 条
[1]  
Abdi W., 1964, MATH Z, V83, P238
[2]  
Abdi W. H., 1960, P NATL ACAD SCI IN A, V29, P389
[3]  
Abdi W.H., 1962, REND CIRC MAT PALE 2, V11, P1
[4]  
Abdi W. H., 1962, P NAT I SCI INDIA A, V28, P1
[5]  
ARAL A., APPL P Q GAMMA FUNCT
[6]  
Burban I.M., 1994, INTEGR TRANSF SPEC F, V2, P15, DOI [DOI 10.1080/10652469408819035, 10.1080/10652469408819035]
[7]  
Duran U., 2018, STUDY SOME NEW RESUL, DOI 10.20944/preprints201803.0072.v1
[8]  
Hahn W., 1949, MATH NACHR, V2, P340, DOI DOI 10.1002/MANA.19490020604
[9]   A RESERCH ON NONLINEAR (p, q)-DIFFERENCE EQUATION TRANSFORMABLE TO LINEAR EQUATIONS USING (p, q)-DERIVATIVE [J].
Roh, Kum-Hwan ;
Lee, Hui Young ;
Kim, Young Rok ;
Kang, Jung Yoog .
JOURNAL OF APPLIED MATHEMATICS & INFORMATICS, 2018, 36 (3-4) :271-283
[10]  
Sadjang P. Njionou, FUNDAMENTAL THEOREM