In this paper, we derive a Mittag-Leffler function for real index and establish solutions of special type of fractional order differential equations (FDEs). The same concept is extended to discrete case by replacing polynomials into factorial polynomials and differentiation into l-difference operator. Moreover, numerical examples of our results are stated to validate our findings. The acquired results here have the ability to generate a wide range of formulas in relation to newer results. [ABSTRACT FROM AUTHOR]
MIR, HAJAR EL, MAMOUNI, ABDELLAH, and OUKHTITE, LAHCEN
Subjects
*LAPLACIAN operator, *FRACTIONAL differential equations, *DIFFERENTIAL equations, *MATHEMATICS, *FIXED point theory
Abstract
In this paper we give a classification of endomorphisms and additive mappings of a prime ring satisfying certain algebraic identities. Moreover, we provide an example proving that the primeness hypothesis imposed in our theorems is not superfluous. [ABSTRACT FROM AUTHOR]
BEDDANI, HAMID, BEDDANI, MOUSTAFA, and DAHMANI, ZOUBIR
Subjects
*LAPLACIAN operator, *FRACTIONAL differential equations, *DIFFERENTIAL equations, *MATHEMATICS, *FIXED point theory
Abstract
In this paper, we study the existence and uniqueness of solutions for a tripled system of fractional differential equations with nonlocal integro multi point boundary conditions by using the p-Laplacian operator and the γ-Caputo derivatives. The presented results are obtained by the two fixed point theorems of Banach and Krasnoselskii. An illustrative example is presented at the end to show the applicability of the obtained results. To the best of our knowledge, this is the first time where such problem is considered. [ABSTRACT FROM AUTHOR]