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1
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Multiple positive solutions to singular boundary value problems for superlinear second order FDEs

100%
Jiang D.
Annales Polonici Mathematici
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2000
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tom 75
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nr 3
257-270
EN
We study the existence of positive solutions to the singular boundary value problem for a second-order FDE ⎧ u'' + q(t) f(t,u(w(t))) = 0, for almost all 0 < t < 1, ⎨ u(t) = ξ(t), a ≤ t ≤ 0, ⎩ u(t) = η(t), 1 ≤ t ≤ b, where q(t) may be singular at t = 0 and t = 1, f(t,u) may be superlinear at u = ∞ and singular at u = 0.
2
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Continuous solutions of a polynomial-like iterative equation with variable coefficients

100%
Zhang W., Baker J. A.
Annales Polonici Mathematici
|
2000
|
tom 73
|
nr 1
29-36
EN
Using the fixed point theorems of Banach and Schauder we discuss the existence, uniqueness and stability of continuous solutions of a polynomial-like iterative equation with variable coefficients.
3
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Quadratic integral equations in reflexive Banach space

100%
Salem H.
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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2010
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tom 30
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nr 1
61-69
EN
This paper is devoted to proving the existence of weak solutions to some quadratic integral equations of fractional type in a reflexive Banach space relative to the weak topology. A special case will be considered.
4
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Controllability of nonlinear implicit fractional integrodifferential systems

100%
Balachandran K., Divya S.
International Journal of Applied Mathematics and Computer Science
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2014
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tom 24
|
nr 4
713-722
EN
In this paper, we study the controllability of nonlinear fractional integrodifferential systems with implicit fractional derivative. Sufficient conditions for controllability results are obtained through the notion of the measure of noncompactness of a set and Darbo's fixed point theorem. Examples are included to verify the result.
5
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Monotonic solutions of multi term fractional differential equations

100%
Salem H. A. H.
Commentationes Mathematicae
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2007
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tom 47
|
nr 1
EN
In this paper, we present an existence of monotonic solutions for a nonlinear multi term non-autonomous fractional differential equation in the Banach space of summable functions. The concept of measure of noncompactness and a fixed point theorem due to \(G\). Emmanuele is the main tool in carring out our proof.
6
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On the Picard problem for hyperbolic differential equations in Banach spaces

88%
Sadowski A.
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
|
2003
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tom 23
|
nr 1
31-37
EN
B. Rzepecki in [5] examined the Darboux problem for the hyperbolic equation $z_{xy} = f(x,y,z,z_{xy})$ on the quarter-plane x ≥ 0, y ≥ 0 via a fixed point theorem of B.N. Sadovskii [6]. The aim of this paper is to study the Picard problem for the hyperbolic equation $z_{xy} = f(x,y,z,z_x,z_{xy})$ using a method developed by A. Ambrosetti [1], K. Goebel and W. Rzymowski [2] and B. Rzepecki [5].
7
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Positive integrable solutions for nonlinear integral and differential inclusions of fractional-orders

88%
Al-Issa S., El-Sayed A. M. A.
Commentationes Mathematicae
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2009
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tom 49
|
nr 2
EN
In this paper we study the global existence of positive integrable solution for the nonlinear integral inclusion of fractional order \[ x(t) \in p(t) + I^\alpha F_1 (t, I^\beta f_2 (t, x(\varphi(t)))),\quad t \in (0, 1). \] As an application the global existence of the solution for the initial-value problem of the arbitrary (fractional) orders differential inclusion \[ \frac{dx(t)}{dt}\in p(t)+ I^\alphaF_1(t,D^\gammax(t))),\quad \text{a.e.}\ t gt 0 \] will be studied.
8
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Existence and stability analysis of nonlinear sequential coupled system of Caputo fractional differential equations with integral boundary conditions

75%
Zada A., Yar M., Li T.
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
|
2018
|
tom 17
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