Zobrazeno 1 - 10
of 33
pro vyhledávání: '"Hussein A. H. Salem"'
Publikováno v:
Mathematics, Vol 12, Iss 17, p 2631 (2024)
As claimed in many papers, the equivalence between the Caputo-type fractional differential problem and the corresponding integral forms may fail outside the spaces of absolutely continuous functions, even in Hölder spaces. To avoid such an equivalen
Externí odkaz:
https://doaj.org/article/47865229d09f4dd3bf8bd342e95076c9
Publikováno v:
Boundary Value Problems, Vol 2023, Iss 1, Pp 1-30 (2023)
Abstract In this paper, we present the definitions of fractional integrals and fractional derivatives of a Pettis integrable function with respect to another function. This concept follows the idea of Stieltjes-type operators and should allow us to s
Externí odkaz:
https://doaj.org/article/f2e31c2edc334f6395dc7d1c25a37cb6
Publikováno v:
Symmetry, Vol 16, Iss 6, p 700 (2024)
This paper considers a nonlinear fractional-order boundary value problem HDa,gα1,β,μx(t)+f(t,x(t),HDa,gα2,β,μx(t))=0, for t∈[a,b], α1∈(1,2], α2∈(0,1], β∈[0,1] with appropriate integral boundary conditions on the Hölder spaces. Here,
Externí odkaz:
https://doaj.org/article/cc1256f0b1834923a28ae2b9688f635a
Publikováno v:
Mathematics, Vol 11, Iss 13, p 2875 (2023)
We propose here a general framework covering a wide range of fractional operators for vector-valued functions. We indicate to what extent the case in which assumptions are expressed in terms of weak topology is symmetric to the case of norm topology.
Externí odkaz:
https://doaj.org/article/1d28bd8d419e43999e0b613f28175a1f
Publikováno v:
Advances in Difference Equations, Vol 2020, Iss 1, Pp 1-23 (2020)
Abstract This paper is devoted to studying some systems of quadratic differential and integral equations with Hadamard-type fractional order integral operators. We concentrate on general growth conditions for functions generating right-hand side of c
Externí odkaz:
https://doaj.org/article/63a07ac9d8bb45f097835d2811d9c43d
Autor:
Hussein A. H. Salem, Mieczysław Cichoń
Publikováno v:
Symmetry, Vol 14, Iss 8, p 1581 (2022)
Here, we propose a general framework covering a wide variety of fractional operators. We consider integral and differential operators and their role in tempered fractional calculus and study their analytic properties. We investigate tempered fraction
Externí odkaz:
https://doaj.org/article/462bfe91d0714f9ba2178df34c79bf33
Autor:
Hussein A. H. Salem
Publikováno v:
Journal of Function Spaces, Vol 2018 (2018)
Throughout this paper, we outline some aspects of fractional calculus in Banach spaces. Some examples are demonstrated. In our investigations, the integrals and the derivatives are understood as Pettis integrals and the corresponding derivatives. Our
Externí odkaz:
https://doaj.org/article/b5e9024fa789435fa81439e74d912787
Autor:
Hussein A. H. Salem, Mieczysław Cichoń
Publikováno v:
Journal of Function Spaces and Applications, Vol 2013 (2013)
The object of this paper is to investigate the existence of a class of solutions for some boundary value problems of fractional order with integral boundary conditions. The considered problems are very interesting and important from an application po
Externí odkaz:
https://doaj.org/article/31b09b66c3ca4f3593f07748bd1d0551
Publikováno v:
Mathematics; Volume 11; Issue 13; Pages: 2875
We propose here a general framework covering a wide range of fractional operators for vector-valued functions. We indicate to what extent the case in which assumptions are expressed in terms of weak topology is symmetric to the case of norm topology.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=multidiscipl::12f39215249ed23ed34aa1c4319c1fd0
Publikováno v:
INTERNATIONAL JOURNAL OF MATHEMATICS, STATISTICS AND OPERATIONS RESEARCH. 2:143-162
The aim of this paper is devoted to investigate the existence of positive continuous solutions for boundary value problem of fractional type dα,gx(t) dtα = λu(t, x(t))[ζ(x(t)) + η(x(t))], t ∈ [a, b], 0
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8f1dbc3f7217df2750a63ca73f56c053
https://doi.org/10.47509/ijmsor.2022.v02i02.04
https://doi.org/10.47509/ijmsor.2022.v02i02.04