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Let I be a (bounded or unbounded) interval in ℝ.
The nonlinear fractional-order quadratic integral equation on an unbounded interval is difficult to solve.
The first purpose is to consider FSLPs on the unbounded interval ([0, infty)).
So we think there is a real need to concern existence results for fractional evolution equation on an unbounded interval.
This paper is concerned with the existence results for mild solutions of semilinear fractional evolution equations on an unbounded interval.
The fractional Laplacian on a unbounded interval is usually defined in the Schwartz space which is too narrow for many important applications.
Similar(36)
Moreover HL integrability encloses improper integrals on finite intervals; HK integrability also on unbounded intervals.
Homoclinic and heteroclinic orbits can be interpreted as solutions for some boundary value problems on unbounded intervals.
A similar statement holds in case for ordinary differential inequalities in unbounded intervals with, and for problems involving the weight.
We study delayed cellular neural networks (DCNNs) whose state variables are governed by nonlinear integrodifferential differential equations with delays distributed continuously over unbounded intervals.
The Legendre pseudospectral algorithm [21] was implemented successfully to provide very accurate solutions of parabolic integro-differential equations in bounded and unbounded intervals.
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