Results 71 to 80 of about 793 (181)

On behavior of solution for delta fractional differences associated with special functions

Alexandria Engineering Journal
In this paper, a general idea of Mittag-Leffler function using discrete fractional of delta-type in the Riemann–Liouville sense is initiated. Asymptotic behavior of solutions associated with the Riemann–Liouville fractional difference is proposed herein ...
Pshtiwan Othman Mohammed, Dumitru Baleanu, Meraa Arab, Majeed Ahmad Yousif, Shrooq Mohammed Azzo, Thabet Abdeljawad   +5 more
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Liouville type theorems involving fractional order systems

Advanced Nonlinear Studies
In this paper, let α be any real number between 0 and 2, we study the following semi-linear elliptic system involving the fractional Laplacian: (−Δ)α/2u(x)=f(u(x),v(x)),x∈Rn,(−Δ)α/2v(x)=g(u(x),v(x)),x∈Rn. $\begin{cases}{\left(-{\Delta}\right)}^{\alpha /2}
Liao Qiuping, Liu Zhao, Wang Xinyue
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A Survey on Semilinear Differential Equations and Inclusions Involving Riemann-Liouville Fractional Derivative

Advances in Difference Equations, 2009
We establish sufficient conditions for the existence of mild solutions for some densely defined semilinear functional differential equations and inclusions involving the Riemann-Liouville fractional derivative.
Ravi P. Agarwal, Mohammed Belmekki, Mouffak Benchohra   +2 more
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Existence of positive solutions for fractional differential equations with Riemann-Liouville left-hand and right-hand fractional derivatives

Electronic Journal of Differential Equations, 2004
Combining properties of Riemann-Liouville fractional calculus and fixed point theorems, we obtain three existence results of one positive solution and of multiple positive solutions for initial value problems with fractional differential equations.
Shuqin Zhang
doaj  

Extensions of Liouville theorems

Journal of Mathematical Analysis and Applications, 1982
AbstractThe method of deriving Liouville's theorem for subharmonic functions in the plane from the corresponding Hadamard three-circles theorem is extended to a more general and abstract setting. Two extensions of Liouville's theorem for vector-valued holomorphic functions of several complex variables are also mentioned.
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Positive Solutions of Nonlocal Boundary Value Problem for High-Order Nonlinear Fractional -Difference Equations

Abstract and Applied Analysis, 2013
We study the nonlinear -difference equations of fractional order , , , , , where is the fractional -derivative of the Riemann-Liouville type of order , , , , and .
Changlong Yu, Jufang Wang
doaj   +1 more source

Positive solutions for a class of singular boundary-value problems

Electronic Journal of Differential Equations, 2006
This paper concerns the existence and multiplicity of positive solutions for Sturm-Liouville boundary-value problems. We use fixed point theorems and the sub-super solutions method to two solutions to the problem studied.
Dang Dinh Hai
doaj  

The Cotangent Derivative with Respect to Another Function: Theory, Methods and Applications

Fractal and Fractional
This paper introduces a generalization of the Riemann–Liouville and Caputo cotangent derivatives and their corresponding integrals, known as the Riemann–Liouville and Caputo cotangent derivatives with respect to another function (RAF).
Lakhlifa Sadek, Ali Algefary
doaj   +1 more source

Inverse Problems for the Quadratic Pencil of the Sturm-Liouville Equations with Impulse

Abstract and Applied Analysis, 2013
In this study some inverse problems for a boundary value problem generated with a quadratic pencil of Sturm-Liouville equations with impulse on a finite interval are considered.
Rauf Kh. Amırov, A. Adiloglu Nabıev
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Liouville’s theorem [PDF]

Pacific Journal of Mathematics, 1969
openaire   +3 more sources