Generalized Ulam–Hyers stability for fractional differential equations

RW Ibrahim - International Journal of mathematics, 2012 - World Scientific
GENERALIZED ULAM–HYERS STABILITY FOR FRACTIONAL DIFFERENTIAL
EQUATIONS Page 1 International Journal of Mathematics Vol. 23, No. 5 (2012) 1250056 (9 …

Fractional complex transforms for fractional differential equations

RW Ibrahim - Advances in Difference Equations, 2012 - Springer
The fractional complex transform is employed to convert fractional differential equations
analytically in the sense of the Srivastava-Owa fractional operator and its generalization in …

Some Applications of Analytic Functions Associated with q-Fractional Operator

N Khan, S Khan, Q Xin, F Tchier, SN Malik, U Javed - Mathematics, 2023 - mdpi.com
This paper introduces a new fractional operator by using the concepts of fractional q-
calculus and q-Mittag-Leffler functions. With this fractional operator, Janowski functions are …

Inclusion Properties of p-Valent Functions Associated with Borel Distribution Functions

E Amini, M Fardi, MA Zaky, AM Lopes, AS Hendy - Mathematics, 2023 - mdpi.com
In this paper, we define a differential operator on an open unit disk Δ by using the novel
Borel distribution (BD) operator and means of convolution. This operator is adopted to …

Boundary fractional differential equation in a complex domain

RW Ibrahim, JM Jahangiri - Boundary Value Problems, 2014 - Springer
We discuss univalent solutions of boundary fractional differential equations in a complex
domain. The fractional operators are taken in the sense of the Srivastava-Owa calculus in …

Certain new class of analytic functions defined by using a fractional derivative and Mittag-Leffler functions

MF Khan, S Khan, S Hussain, M Darus, K Matarneh - Axioms, 2022 - mdpi.com
Fractional calculus has a number of applications in the field of science, specially in
mathematics. In this paper, we discuss some applications of fractional differential operators …

Modified Atangana-Baleanu fractional differential operators

RW Ibrahim, D Baleanu - 2022 - earsiv.cankaya.edu.tr
Fractional differential operators are mostly investigated for functions of real variables. In this
paper, we present two fractional differential operators for a class of normalized analytic …

On analytic functions associated with the Dziok–Srivastava linear operator and Srivastava–Owa fractional integral operator

RW Ibrahim, M Darus - Arabian Journal for Science and Engineering, 2011 - Springer
In this article, we consider some subordination and superordination results involving the
Dziok–Srivastava linear operator and the Srivastava–Owa fractional integral operator for …

Some geometric properties of analytic functions involving a new fractional operator

P Sharma, RK Raina, GS Sălăgean - Mediterranean Journal of …, 2016 - Springer
In this paper, we introduce and study a new fractional operator and its implications in terms
of the Ruscheweyh derivative operator, the Sălăgean operator and a certain fractional …

On a New Ma-Minda Class of Analytic Functions Created by a Roulette Curve Formula

I Aldawish, RW Ibrahim - Symmetry, 2023 - mdpi.com
It is well known that there are two important classes of analytic functions of Ma-Minda type
(MMT): Ma-Minda starlike and Ma-Minda convex functions. In this work, we suggest a new …