Global existence of solutions of initial boundary value problem for nonlocal parabolic equation with nonlocal boundary condition
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DOI: 10.1002/mma.6286
Abstract: We prove the global existence and blow‐up of solutions of an initial boundary value problem for nonlinear nonlocal parabolic equation with nonlinear nonlocal boundary condition. Obtained results depend on the behavior of variable coefficients for… read more here.
Keywords: boundary value; global existence; nonlocal parabolic; solutions initial ... See more keywords
Nonnegative Solutions of Initial Value Problems for Langevin Equations Involving Two Fractional Orders
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DOI: 10.1007/s00009-018-1213-x
Abstract: In this paper, we study the existence and uniqueness of nonnegative solutions of an initial value problem for Langevin equations involving two fractional orders: $$\begin{aligned} \left\{ \begin{array}{lll}^c_0\!D^\beta _t({}^c_0\!D^\alpha _t-\gamma )x(t)=f(t,x(t)),&{}\quad \ 0< t read more here.
Keywords: solutions initial; initial value; nonnegative solutions; langevin equations ... See more keywords
Explicit Solutions of Initial Value Problems for Fractional Generalized Proportional Differential Equations with and without Impulses
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DOI: 10.3390/sym13060996
Abstract: The object of investigation in this paper is a scalar linear fractional differential equation with generalized proportional derivative of Riemann–Liouville type (LFDEGD). The main goal is the obtaining an explicit solution of the initial value… read more here.
Keywords: generalized proportional; solutions initial; value; initial value ... See more keywords