Zobrazeno 1 - 10
of 369
pro vyhledávání: '"Fractional differential operator"'
Autor:
Ibtisam Aldawish, Rabha W. Ibrahim
Publikováno v:
Journal of King Saud University: Science, Vol 36, Iss 11, Pp 103512- (2024)
In this note, we suggest a generalization of gamma function to be 3D-gamma function. As a consequence, some special functions are generalized including the Mittag–Leffler function. Moreover, we utilize the generalized Mittag–Leffler to extend the
Externí odkaz:
https://doaj.org/article/b215b3e10112403bbf2b4ac5e04246bd
Autor:
Rabha W. Ibrahim
Publikováno v:
Examples and Counterexamples, Vol 6, Iss , Pp 100148- (2024)
By using the generalization of the gamma function (p-gamma function: Γp(.)), we introduce a generalization of the fractal–fractional calculus which is called p-fractal fractional calculus. We extend the proposed operators into the symmetric comple
Externí odkaz:
https://doaj.org/article/53cba14cd326438d9df9e14992303855
Autor:
Rabha W. Ibrahim, Dumitru Baleanu
Publikováno v:
AIMS Mathematics, Vol 9, Iss 2, Pp 3810-3835 (2024)
Mathematics has several uses for operators on bounded symmetric domains of Bergman spaces including complex geometry, functional analysis, harmonic analysis and operator theory. They offer instruments for examining the interaction between complex fun
Externí odkaz:
https://doaj.org/article/116e314b9d5d4f539afd35aea627c3e9
Autor:
Mohammad Abdel Aal, Omar Abu Arqub
Publikováno v:
Arab Journal of Basic and Applied Sciences, Vol 30, Iss 1, Pp 55-67 (2023)
AbstractThe framework of fractional partial differential models is the first-rate hyperlink between mathematics and applied physics. This article project intends to utilize outcomes for the time-fractional Newell–Whitehead–Segel model in [Formula
Externí odkaz:
https://doaj.org/article/d772e8e6450c43ea87ef230d53dbdd5f
Publikováno v:
Fractal and Fractional, Vol 8, Iss 10, p 584 (2024)
A fractal–fractional calculus is presented in term of a generalized gamma function (ℓ−gamma function: Γℓ(.)). The suggested operators are given in the symmetric complex domain (the open unit disk). A novel arrangement of the operators shows
Externí odkaz:
https://doaj.org/article/5fbf892792a349e997f687b0d345a37a
Publikováno v:
Axioms, Vol 13, Iss 9, p 638 (2024)
In numerous scientific and engineering domains, fractional-order derivatives and integral operators are frequently used to represent many complex phenomena. They also have numerous practical applications in the area of fixed point iteration. In this
Externí odkaz:
https://doaj.org/article/1d06c5c0d9dc411b8a5e3f3b1f50e470
Publikováno v:
Axioms, Vol 13, Iss 8, p 522 (2024)
By using the most generalized gamma function (parametric gamma function, or p-gamma function), we present the most generalized Rabotnov function, called the p-Rabotnov function. Consequently, new fractal–fractional differential and integral operato
Externí odkaz:
https://doaj.org/article/c9b6daeb4247447293350234fbc61d8f
Publikováno v:
Case Studies in Thermal Engineering, Vol 53, Iss , Pp 103841- (2024)
Although the thermal and flow analysis of complex mechanisms of electrochemistry, dispersion and viscoelasticity is significantly addressed in the literature but none of the studies are made through the concept of fractional differential operators wi
Externí odkaz:
https://doaj.org/article/f07839627a7f434ba9e1323b420ee4f9
Autor:
Ibtisam Aldawish, Rabha W. Ibrahim
Publikováno v:
MethodsX, Vol 11, Iss , Pp 102398- (2023)
Analytic functions are very helpful in many mathematical and scientific uses, such as complex integration, potential theory, and fluid dynamics, due to their geometric features. Particularly conformal mappings are widely used in physics and engineeri
Externí odkaz:
https://doaj.org/article/dd590dc1f9ca41428d20975dad397fa5
Autor:
Dumitru Baleanu, Rabha W. Ibrahim
Publikováno v:
AIMS Mathematics, Vol 8, Iss 5, Pp 11953-11972 (2023)
Impulsive is the affinity to do something without thinking. In this effort, we model a mathematical formula types integro-differential equation (I-DE) to describe this behavior. We investigate periodic boundary value issues in Banach spaces for fract
Externí odkaz:
https://doaj.org/article/cda39d62ad6a4266b59d979ed2d38bb8