Some Fractional Operators with the Generalized Bessel–Maitland Function
Joint Authors
Rahman, Gauhar
Mubeen, Shahid
Ali, R. S.
Nayab, I.
Araci, Serkan
Nisar, K. S.
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-07-24
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
In this paper, we aim to determine some results of the generalized Bessel–Maitland function in the field of fractional calculus.
Here, some relations of the generalized Bessel–Maitland functions and the Mittag-Leffler functions are considered.
We develop Saigo and Riemann–Liouville fractional integral operators by using the generalized Bessel–Maitland function, and results can be seen in the form of Fox–Wright functions.
We establish a new operator Zν,η,ρ,γ,w,a+μ,ξ,m,σϕ and its inverse operator Dν,η,ρ,γ,w,a+μ,ξ,m,σϕ, involving the generalized Bessel–Maitland function as its kernel, and also discuss its convergence and boundedness.
Moreover, the Riemann–Liouville operator and the integral transform (Laplace) of the new operator have been developed.
American Psychological Association (APA)
Ali, R. S.& Mubeen, Shahid& Nayab, I.& Araci, Serkan& Rahman, Gauhar& Nisar, K. S.. 2020. Some Fractional Operators with the Generalized Bessel–Maitland Function. Discrete Dynamics in Nature and Society،Vol. 2020, no. 2020, pp.1-15.
https://search.emarefa.net/detail/BIM-1152814
Modern Language Association (MLA)
Ali, R. S.…[et al.]. Some Fractional Operators with the Generalized Bessel–Maitland Function. Discrete Dynamics in Nature and Society No. 2020 (2020), pp.1-15.
https://search.emarefa.net/detail/BIM-1152814
American Medical Association (AMA)
Ali, R. S.& Mubeen, Shahid& Nayab, I.& Araci, Serkan& Rahman, Gauhar& Nisar, K. S.. Some Fractional Operators with the Generalized Bessel–Maitland Function. Discrete Dynamics in Nature and Society. 2020. Vol. 2020, no. 2020, pp.1-15.
https://search.emarefa.net/detail/BIM-1152814
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1152814