Results 271 to 280 of about 88,575 (314)

On fractional differential inclusions with the Jumarie derivative

Journal of Mathematical Physics, 2014
In the paper, fractional differential inclusions with the Jumarie derivative are studied. We discuss the existence and uniqueness of a solution to such problems. Our study relies on standard variational methods.
Kamocki, Rafał, Obczyński, Cezary
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Applying fixed point techniques to solve fractional differential inclusions under new boundary conditions

AIMS Mathematics
Many scholars have lately explored fractional-order boundary value issues with a variety of conditions, including classical, nonlocal, multipoint, periodic/anti-periodic, fractional-order, and integral boundary conditions.
M. Manigandan, Kannan Manikandan, H. Hammad, M. De La Sen   +3 more
semanticscholar   +1 more source

On an Integro-differential Inclusion of Fractional Order

Differential Equations and Dynamical Systems, 2012
The paper deals with the existence of solutions to the following fractional hyperbolic integro-differential inclusion: \[ D^r_cu(x,\,y) \in F(x,\,y,\,u(x,\,y),\,(I^r_0u)(x,\,y))\;\;\; a.e.\; (x,\,y)\in [0,\,T_1]\times [0,\,T_2]; \] \[ u(x,\,0)=\phi(x),\; u(0,\,y)=\psi(y),\;\; (x,\,y)\in [0,\,T_1]\times [0,\,T_2], \] where \(F\) is a set-valued map, \(I^
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C ∗ -ALGEBRA-VALUED SPACES AND THE IMPACT OF MULTI-VALUED FIXED POINT THEOREMS ON HYPERBOLIC TYPE FRACTIONAL DIFFERENTIAL INCLUSIONS

Journal of Mathematical Analysis
The pursuit of understanding fixed points and their applications has been significantly enhanced through the exploration of multi-valued mappings. This article introduces the concept of multi-valued mappings within C∗-algebra-valued metric spaces.
Maliha Rashid, Ahmed Rawashdeh, N. Mehmood   +2 more
semanticscholar   +1 more source

On controllability for fractional differential inclusion

2012 IEEE 4th International Conference on Nonlinear Science and Complexity (NSC), 2012
We consider a fractional differential inclusion involving Caputo's fractional derivative and we obtain a sufficient condition for h-local controllability along a reference trajectory. To derive this result we use convex linearizations of the fractional differential inclusion.
openaire   +1 more source

Investigation of the existence and uniqueness of solutions for higher order fractional differential inclusions and equations with integral boundary conditions

Journal of Interdisciplinary Mathematics, 2021
In this work, we give some novel uniqueness and existence results for higher order fractional differential inclusions and equations with integral boundary conditions.
Adel Lachouri, A. Ardjouni, A. Djoudi
semanticscholar   +1 more source

Stochastic fractional differential inclusion driven by fractional Brownian motion

Random Operators and Stochastic Equations, 2023
Abstract In this paper, we prove the existence result for a mild solution of a fractional stochastic evolution inclusion involving the Caputo derivative in the Hilbert space driven by a fractional Brownian motion with the Hurst parameter
Moulay Hachemi, Rahma Yasmina, Guendouzi, Toufik   +1 more
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On the solutions of a coupled system of proportional fractional differential inclusions of Hilfer type

Modern Mathematical Methods
A multi-point and integro-multi-strip boundary value problem associated to a Hilfer type coupled system of fractional differential inclusions is studied. The existence of solutions is established in the case when the set-valued maps has nonconvex values.
A. Cernea
semanticscholar   +1 more source

Fractional integral problems for Hadamard–Caputo fractional Langevin differential inclusions

Journal of Applied Mathematics and Computing, 2015
The authors consider the differential inclusion (of fractional type) \[ D^{\alpha}\big(D^{\beta}+\lambda\big)x(t)\in F\big(t,x(t)\big) \] for \(t\in[1,e]\). The differential inclusion is subjected to the conditions (of nonlocal type) \[ \sum_{i=1}^{m}\theta_{i}I^{\mu_i}x\left(\eta_i\right)=\sum_{j=1}^{n}\phi_{j}I^{\gamma_j}x\left(\omega_j\right) \] and
Ntouyas, Sotiris K., Tariboon, Jessada
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On Systems of Differential Inclusions of Fractional Order in Banach Spaces

Siberian Mathematical Journal
Let \(E_i\) be a Banach space and \(E_i^N:=\underbrace{E_i \times \dots \times E_i}_{N\ \text{times}}\), \(i=1,\dots, n\). Moreover, put \(E^N:=E_1^N\times \dots \times E_n^N\). \smallskip The article deals with the system of fractional order differential inclusions in \(E^N\) \[ \begin{cases} ^C D_0^{q_1} x_1(t)\in F_1(t, \Delta^N x_1(t),\dots, \Delta^
Obukhovskii, V. V., Kamenskii, M. I., Petrosyan, G. G., Ul'vacheva, T. A., Zeng, S.   +4 more
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