Roshdi Khalil

Prof. Dr. Roshdi Khalil


Research Focus & Metrics

Academic Career Length

35Years (1992-Present)

(Calculated once Scilit publication data is synced: current year − year of first publication + 1)

Representative Publications

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19 June 2019 in Journal of Mathematics and Computer Science
Verified
Journal Article
Closed access
RKRoshdi Khalil
Roshdi Khalil
MHMohammed Al Horani
Mohammed Al Horani
MHMa'mon Abu Hammad
Ma'mon Abu Hammad
In this paper, we answer the question that many researchers did ask us about: "what is the geometrical meaning of the conformable derivative?". We answer the question using the concept of fractional cords. Fractional orthogonal trajectories are also introduced. Some examples illustrating the concepts of fractional cords and fractional orthogonal trajectories are given.

1 February 1992 in Journal of Functional Analysis
Verified
Journal Article
Closed access
WDW. Deeb
W. Deeb
RKRoshdi Khalil
Roshdi Khalil

30 June 2022 in Results in Nonlinear Analysis
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Journal Article
Closed access
PDF file
Ilhem KADRIIlhem KADRI
Ilhem KADRI
MHMohammed Al Horani
Mohammed Al Horani
RKRoshdi Khalil
Roshdi Khalil
Our goal in this paper is to use combined Laplace transform (CLT) and Adomian decomposition method(ADM) (that will be explained in section 3), to study approximate solutions for non-linear time-fractionalBurger's equation, fractional Burger's Kdv equation and the fractional modi?ed Burger's equation for theCaputo and Conformable derivatives. Comparison between the two solutions and the exact solution is made.Here we report that the Laplace transform decomposition method (LTDM) proved to be e?cient and beused to obtain new analytical solutions of nonlinear fractional di?erential equations (FDEs).

1 January 2017 in Filomat
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Journal Article
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Mohammad SababhehMohammad Sababheh
Mohammad Sababheh
AYAbdelrahman Yousef
Abdelrahman Yousef
RKRoshdi Khalil
Roshdi Khalil
The study of the continuity of the farthest point mapping for uniquely remotal sets has been used extensively in the literature to prove the singletoness of such sets. In this article, we show that the farthest point mapping is not continuous even if the set is remotal, rather than being uniquely remotal. Consequently, we obtain some generalizations of results concerning the singletoness of remotal sets. In particular, it is proved that a compact set admitting a unique farthest point to its center is a singleton, generalizing the well known result of Klee.

1 April 2021 in European Journal of Pure and Applied Mathematics
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Journal Article
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FSFakhruddeen Seddiki
Fakhruddeen Seddiki
MHMohammed Al Horani
Mohammed Al Horani
RKRoshdi Khalil
Roshdi Khalil
In this paper, we find a solution of finite rank form of fractional Abstract Cauchy Problem. The fractional derivative used is the Conformable derivative. The main idea of the proofs are based on theory of tensor product of Banach spaces.

11 August 2022 in Rendiconti del Circolo Matematico di Palermo Series 2
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Journal Article
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FSF. Seddiki
F. Seddiki
MHMohammed Al Horani
Mohammed Al Horani
RKRoshdi Khalil
Roshdi Khalil