Výsledky vyhledávání - "Nadia Benkhettou"

Akademický článek

Non-Instantaneous Impulsive Fractional Integro-Differential Equations with State-Dependent Delay

Autor: Nadia Benkhettou, Abdelkrim Salim, Khalida Aissani, Mouffak Benchohra, Erdal Karapinar

Publikováno v: Sahand Communications in Mathematical Analysis, Vol 19, Iss 3, Pp 93-109 (2022)

This paper deals with the existence and uniqueness of the mild solution of the fractional integro-differential equations with non-instantaneous impulses and state-dependent delay. Our arguments are based on the fixed point theory. Finally, an example

Externí odkaz: https://doaj.org/article/1f9354aaeac04310b5ea2bab292d631f

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Akademický článek

Neutral functional sequential differential equations with Caputo fractional derivative on time scales

Autor: Jamal Eddine Lazreg, Nadia Benkhettou, Mouffak Benchohra, Erdal Karapinar

Publikováno v: Fixed Point Theory and Algorithms for Sciences and Engineering, Vol 2022, Iss 1, Pp 1-16 (2022)

Abstract In this paper, we establish the existence and uniqueness of a solution for a class of initial value problems for implicit fractional differential equations with Caputo fractional derivative. The arguments are based upon the Banach contractio

Externí odkaz: https://doaj.org/article/00d84306ce144d25add6c516259c5e91

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Akademický článek

Existence and uniqueness of solution for a fractional Riemann–Liouville initial value problem on time scales

Autor: Nadia Benkhettou, Ahmed Hammoudi, Delfim F.M. Torres

Publikováno v: Journal of King Saud University: Science, Vol 28, Iss 1, Pp 87-92 (2016)

We introduce the concept of fractional derivative of Riemann–Liouville on time scales. Fundamental properties of the new operator are proved, as well as an existence and uniqueness result for a fractional initial value problem on an arbitrary time

Externí odkaz: https://doaj.org/article/d746d8fee1f74fa685fb78da4f87ff19

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Akademický článek

A conformable fractional calculus on arbitrary time scales

Autor: Nadia Benkhettou, Salima Hassani, Delfim F.M. Torres

Publikováno v: Journal of King Saud University: Science, Vol 28, Iss 1, Pp 93-98 (2016)

A conformable time-scale fractional calculus of order α∈]0,1] is introduced. The basic tools for fractional differentiation and fractional integration are then developed. The Hilger time-scale calculus is obtained as a particular case, by choosing

Externí odkaz: https://doaj.org/article/e4dc377452a1418f8068cfffd56d719a

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Lakshmikantham Monotone Iterative Principle for Hybrid Atangana-Baleanu-Caputo Fractional Differential Equations

Autor: Nadia Benkhettou, Abdelkrim Salim, Jamal Eddine Lazreg, Saïd Abbas, Mouffak Benchohra

Publikováno v: Annals of West University of Timisoara - Mathematics and Computer Science. 59:79-91

In this paper, we study the following fractional differential equation involving the Atangana-Baleanu-Caputo fractional derivative: { A B C a D τ θ [ x ( ϑ ) − F ( ϑ , x ( ϑ ) ) ] = G ( ϑ , x ( ϑ ) ) , ϑ ∈ J : = [ a , b ] , x ( a ) = φ a

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::f5e71528d0ba7e3a344b91073c292b44
https://doi.org/10.2478/awutm-2023-0007

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Fractional differential equations with maxima on time scale via Picard operators

Autor: Erdal Karapınar, Nadia Benkhettou, Jamal Lazreg, Mouffak Benchohra

Publikováno v: Filomat. 37:393-402

In this paper, we prove a result of existence and uniqueness of solutions for the following class of problem of initial value for differential equations with maxima and Caputo?s fractional order on the time scales: c??a u(?) = ?(?, u(?), max ??[a,?]

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::f3886956b240c5ece34752a6c75402d5
https://doi.org/10.2298/fil2302393k

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On Fractional Integro-differential Equations with State-Dependent Delay and Non-Instantaneous Impulses

Autor: Khalida Aissani, Nadia Benkhettou, Mouffak Benchohra

Publikováno v: Cubo (Temuco), Volume: 21, Issue: 1, Pages: 61-75, Published: APR 2019
Cubo (Temuco) v.21 n.1 2019
SciELO Chile
CONICYT Chile
instacron:CONICYT

In this paper, we prove the existence of mild solution of the fractional integro-differential equations with state-dependent delay with not instantaneous impulses. The existence results are obtained under the conditions in respect of Kuratowski’s m

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::94a5822b050c0e733a72a7696ab3c4a4
http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462019000100061&lng=en&tlng=en

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Existence and uniqueness of solution for a fractional Riemann–Liouville initial value problem on time scales

Autor: Delfim F. M. Torres, Nadia Benkhettou, Ahmed Hammoudi

Publikováno v: Journal of King Saud University: Science, Vol 28, Iss 1, Pp 87-92 (2016)
Repositório Científico de Acesso Aberto de Portugal
Repositório Científico de Acesso Aberto de Portugal (RCAAP)
instacron:RCAAP
ResearcherID

We introduce the concept of fractional derivative of Riemann-Liouville on time scales. Fundamental properties of the new operator are proved, as well as an existence and uniqueness result for a fractional initial value problem on an arbitrary time sc

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::36972eea9e8547592313bb830a110921

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Nonsymmetric and symmetric fractional calculi on arbitrary nonempty closed sets

Autor: Delfim F. M. Torres, Artur M. C. Brito da Cruz, Nadia Benkhettou

Publikováno v: Repositório Científico de Acesso Aberto de Portugal
Repositório Científico de Acesso Aberto de Portugal (RCAAP)
instacron:RCAAP

We introduce a nabla, a delta, and a symmetric fractional calculus on arbitrary nonempty closed subsets of the real numbers. These fractional calculi provide a study of differentiation and integration of noninteger order on discrete, continuous, and

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5b2768ba2d5f859a4662c0fd1aeca9e7

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A Conformable Fractional Calculus on Arbitrary Time Scales

Autor: Salima Hassani, Nadia Benkhettou, Delfim F. M. Torres

Publikováno v: Repositório Científico de Acesso Aberto de Portugal
Repositório Científico de Acesso Aberto de Portugal (RCAAP)
instacron:RCAAP
Journal of King Saud University: Science, Vol 28, Iss 1, Pp 93-98 (2016)

A conformable time-scale fractional calculus of order $\alpha \in ]0,1]$ is introduced. The basic tools for fractional differentiation and fractional integration are then developed. The Hilger time-scale calculus is obtained as a particular case, by

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a2f0d5bb8ef63421eb00e9280b1adb7b

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