Results 11 to 20 of about 1,081 (133)

Existence result for a fractional differential equation involving a special derivative

Moroccan Journal of Pure and Applied Analysis, 2022
In this article, we establish certain sufficient conditions to show the existence of solutions of an initial value problem of fractional-ordinary differential equation in Banach space.
Beddani Moustafa, Hedia Benaouda
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Using Krasnoselskii's theorem to investigate the Cauchy and neutral fractional q-integro-differential equation via numerical technique

Nonlinear Engineering, 2022
This article discusses the stability results for solution of a fractional q-integro-differential problem via integral conditions. Utilizing the Krasnoselskii’s, Banach fixed point theorems, we demonstrate existence and uniqueness results.
Yue Xiao-Guang, Samei Mohammad Esmael, Fathipour Azam, Kaabar Mohammed K. A., Kashuri Artion   +4 more
doaj   +1 more source

Generalized Fractional Nonlinear Birth Processes [PDF]

, 2015
We consider here generalized fractional versions of the difference-differential equation governing the classical nonlinear birth process. Orsingher and Polito (Bernoulli 16(3):858-881, 2010) defined a fractional birth process by replacing, in its ...
BEGHIN, Luisa, Davood Rostamy, Mohsen Alipour   +2 more
core   +1 more source

Numerical solution of fractional Mathieu equations by using block-pulse wavelets

Journal of Ocean Engineering and Science, 2019
In this paper, we introduce a method based on operational matrix of fractional order integration for the numerical solution of fractional Mathieu equation and then apply it in a number of cases.
P. Pirmohabbati, A.H. Refahi Sheikhani, H. Saberi Najafi, A. Abdolahzadeh Ziabari   +3 more
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Multiplicity solutions for a class of p-Laplacian fractional differential equations via variational methods

Open Mathematics, 2022
While it is known that one can consider the existence of solutions to boundary-value problems for fractional differential equations with derivative terms, the situations for the multiplicity of weak solutions for the p-Laplacian fractional differential ...
Chen Yiru, Gu Haibo
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Oscillation of impulsive conformable fractional differential equations

Open Mathematics, 2016
In this paper, we investigate oscillation results for the solutions of impulsive conformable fractional differential equations of the ...
Tariboon Jessada, Ntouyas Sotiris K.
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Monotone iterative procedure and systems of a finite number of nonlinear fractional differential equations [PDF]

, 2015
The aim of the paper is to present a nontrivial and natural extension of the comparison result and the monotone iterative procedure based on upper and lower solutions, which were recently established in (Wang et al. in Appl. Math. Lett.
A Babakhani, AA Kilbas, B Ahmad, C Bai, Dariusz Wardowski, FA McRae, G Wang, H Jafari, I Podlubny, M Belmekki, M Belmekki, M El-Shahed, MP Lazarevi, S Bhalekar, S Zhang, S Zhang, SG Samko, V Daftardar-Gejji, V Gafiychuk, V Lakshmikantham, V Lakshmikanthan, X Su, Y Chen, Z Wei, ZB Bai, ZB Bai   +25 more
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Coupled system of a fractional order differential equations with weighted initial conditions

Open Mathematics, 2019
Here, a coupled system of nonlinear weighted Cauchy-type problem of a diffre-integral equations of fractional order will be considered. We study the existence of at least one integrable solution of this system by using Schauder fixed point Theorem.
El-Sayed Ahmed M. A., Abd El-Salam Sheren A.   +1 more
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Positive solutions of semipositone singular fractional differential systems with a parameter and integral boundary conditions

Open Mathematics, 2018
In this paper, the existence of positive solutions for systems of semipositone singular fractional differential equations with a parameter and integral boundary conditions is investigated. By using fixed point theorem in cone, sufficient conditions which
Hao Xinan, Wang Huaqing
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Nonlinear boundary value problems for mixed-type fractional equations and Ulam-Hyers stability

Open Mathematics, 2020
In this article, we discuss the nonlinear boundary value problems involving both left Riemann-Liouville and right Caputo-type fractional derivatives. By using some new techniques and properties of the Mittag-Leffler functions, we introduce a formula of ...
Wang Huiwen, Li Fang
doaj   +1 more source