http://chineseinput.net/에서 pinyin(병음)방식으로 중국어를 변환할 수 있습니다.
변환된 중국어를 복사하여 사용하시면 됩니다.
Boundary Value Problems for differential Inclusions with Fractional Order
Ravi P. Agarwal,Mouffak Benchohra,Samira Hamani 장전수학회 2008 Advanced Studies in Contemporary Mathematics Vol.16 No.2
In this paper, we shall establish sucient conditions for the existence of so-lutions for a class of boundary value problem for fractional dierential inclusionsinvolving the Caputo fractional derivative. The both cases of convex and non-convex valued right hand sides are considered.
FRACTIONAL HYBRID DIFFERENTIAL EQUATIONS WITH P-LAPLACIAN OPERATOR
CHOUKRI DERBAZI,ABDELKRIM SALIM,HADDA HAMMOUCHE,MOUFFAK BENCHOHRA The Korean Society for Computational and Applied M 2024 Journal of applied and pure mathematics Vol.6 No.1
In this paper, we study the existence of solutions for hybrid fractional differential equations with p-Laplacian operator involving fractional Caputo derivative of arbitrary order. This work can be seen as an extension of earlier research conducted on hybrid differential equations. Notably, the extension encompasses both the fractional aspect and the inclusion of the p-Laplacian operator. We build our analysis on a hybrid fixed point theorem originally established by Dhage. In addition, an example is provided to demonstrate the effectiveness of the main results.
CAPUTO-FABRIZIO FRACTIONAL HYBRID DIFFERENTIAL EQUATIONS VIA NEW DHAGE ITERATION METHOD
NADIA BENKHETTOU,ABDELKRIM SALIM,JAMAL EDDINE LAZREG,SAID ABBAS,MOUFFAK BENCHOHRA The Korean Society for Computational and Applied M 2023 Journal of applied and pure mathematics Vol.5 No.3
In this paper, we study the following hybrid Caputo-Fabrizio fractional differential equation: <sup>𝐶𝓕</sup><sub>α</sub>𝕯<sup>θ</sup><sub>ϑ</sub> [ω(ϑ) - 𝕱(ϑ, ω(ϑ))] = 𝕲(ϑ, ω(ϑ)), ϑ ∈ 𝕵 := [a, b], ω(α) = 𝜑<sub>α</sub> ∈ ℝ, The result is based on a Dhage fixed point theorem in Banach algebra. Further, an example is provided for the justification of our main result.
Caputo-Fabrizio fractional hybrid differential equations via new Dhage iteration method
Nadia Benkhettou,Abdelkrim Salim,Jamal Eddine Lazreg,Said Abbas,Mouffak Benchohra 한국전산응용수학회 2023 Journal of Applied and Pure Mathematics Vol.5 No.3
In this paper, we study the following hybrid Caputo-Fabrizio fractional differential equation: \begin{equation*} \begin{gathered} ^{\mathcal{CF}}_{a} {\mathfrak{D}}_{\vartheta}^{\theta}\left[ \omega(\vartheta)-{\mathfrak{F}}(\vartheta,\omega(\vartheta))\right]={\mathfrak{G}}(\vartheta,\omega(\vartheta)), \ \ \vartheta \in {\mathfrak{J}}:=[a,b], \\ \omega(a)=\varphi_a \in \R, \end{gathered} \end{equation*} The result is based on a Dhage fixed point theorem in Banach algebra. Further, an example is provided for the justification of our main result.