지원사업
학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
커뮤니티
연구자들이 자신의 연구와 전문성을 널리 알리고, 새로운 협력의 기회를 만들 수 있는 네트워킹 공간이에요.
논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 경남대학교 기초과학연구소 Nonlinear Functional Analysis and Applications Nonlinear Functional Analysis and Applications Vol.23 No.3
- 발행연도
- 2018.9
- 수록면
- 455 - 471 (17page)
- DOI
- 10.22771/nfaa.2018.23.03.04
이용수
초록· 키워드
오류제보하기
Fractional kinetic equations are investigated in order to describe the various phenomena governed by anomalous reaction in dynamical systems with chaotic motion. Many authors have provided solutions of various families of fractional kinetic equations involving such special functions as (for example) a generalized Bessel function of the first kind [18] and the Aleph function [6]. Here, in this paper, we aim at presenting solution of a certain general family of fractional kinetic equations associated with the generalized Mittag- Leffler function. It is also shown that the result presented here includes, as its special cases, solutions of many fractional kinetic equations which were investigated in earlier works. In our investigation, we have found it to be more convenient to use (and the closed-form results derived here appear to be considerably simpler by using) the Sumudu transform instead of the classical Laplace transform.
목차
등록된 정보가 없습니다.
참고문헌 (47)
참고문헌 신청
M.A. Asiru / 2001 / Sumudu transform and the solution of integral equations of convolution type / Internat. J. Math. Ed. Sci. Tech 32:906~910
F.B. M. Belgacem / 2006 / Sumudu transform fundamental properties investigations and applications / J. Appl. Math. Stochast. Anal :91083
F.B.M. Belgacem / 2003 / Analytical investigations of the Sumudu transform and applications to integral production equations / Math. Probl. En-grg 3:103~118
V.B.L. Chaurasia / 2010 / On the solution of generalized fractional kinetic equation / Adv. Stud. Theoret. Phys 4:773~780
J. Choi / 2016 / A note on fractional integral operator associated with multiindex Mittag-Leffler functions / Filomat 30(7):1931~1939
F.B. M. Belgacem / 2006 / Sumudu transform fundamental properties investigations and applications / J. Appl. Math. Stochast. Anal :91083
F.B.M. Belgacem / 2003 / Analytical investigations of the Sumudu transform and applications to integral production equations / Math. Probl. En-grg 3:103~118
V.B.L. Chaurasia / 2010 / On the solution of generalized fractional kinetic equation / Adv. Stud. Theoret. Phys 4:773~780
J. Choi / 2016 / A note on fractional integral operator associated with multiindex Mittag-Leffler functions / Filomat 30(7):1931~1939
함께 읽어보면 좋을 논문
논문 유사도에 따라 DBpia 가 추천하는 논문입니다. 함께 보면 좋을 연관 논문을 확인해보세요!
-
A GENERALIZATION OF THE KINETIC EQUATION USING THE PRABHAKAR-TYPE OPERATORS
호남수학학술지
2017 .01
-
Fractional-Order Derivatives and Integrals: Introductory Overview and Recent Developments
Kyungpook Mathematical Journal
2020 .01
-
THE (k, s)-FRACTIONAL CALCULUS OF CLASS OF A FUNCTION
호남수학학술지
2018 .01
-
Some properties of generalized Bessel function associated with generalized fractional calculus operators
대한수학회논문집
2021 .01
-
Certain results involving fractional operators and special functions
한국수학논문집
2019 .01
-
Exponential growth for a fractional differential equation
Advanced Studies in Contemporary Mathematics
2017 .01
-
CAPUTO DELAYED FRACTIONAL DIFFERENTIAL EQUATIONS BY SADIK TRANSFORM
Nonlinear Functional Analysis and Applications
2023 .06
-
A generalized approach of fractional Fourier transform to stability of fractional differential equation
한국수학논문집
2021 .12
-
Extended generalized Mittag-Leffler function applied on fractional integral inequalities
대한수학회논문집
2020 .01
-
Nonlinear implicit fractional differential equation involving -Caputo fractional derivative
Proceedings of the Jangjeon Mathematical Society
2019 .01
-
A NOTE ON EXPLICIT SOLUTIONS OF CERTAIN IMPULSIVE FRACTIONAL DIFFERENTIAL EQUATIONS
충청수학회지
2017 .01
-
Fractional polynomial method for solving fractional order Population growth model
대한수학회논문집
2016 .01
-
A NOTE ON LINEAR IMPULSIVE FRACTIONAL DIFFERENTIAL EQUATIONS
충청수학회지
2015 .01
-
EXISTENCE OF SOLUTION FOR IMPULSIVE FRACTIONAL DYNAMIC EQUATIONS WITH DELAY ON TIME SCALES
Journal of applied mathematics & informatics
2015 .01
-
SEMI-ANALYTICAL SOLUTION TO A COUPLED LINEAR INCOMMENSURATE SYSTEM OF FRACTIONAL DIFFERENTIAL EQUATIONS
Nonlinear Functional Analysis and Applications
2023 .06
-
MULTIPLE POSITIVE SOLUTIONS OF NONLINEAR BOUNDARY VALUE PROBLEM WITH FINITE FRACTIONAL DIFFERENCE
충청수학회지
2015 .01
-
Stability of fractional-order nonlinear systems depending on a parameter
대한수학회보
2017 .07
-
EXISTENCE OF EVEN NUMBER OF POSITIVE SOLUTIONS TO SYSTEM OF FRACTIONAL ORDER BOUNDARY VALUE PROBLEMS
충청수학회지
2018 .01
-
Fractional calculus operators and their image formulas
대한수학회지
2016 .01
-
ANALYTICAL AND APPROXIMATE SOLUTIONS FOR GENERALIZED FRACTIONAL QUADRATIC INTEGRAL EQUATION
Nonlinear Functional Analysis and Applications
2021 .09
이 논문의 저자 정보
최근 본 자료
댓글(0)
0