Especially, many works have been devoted to the study of initial value problems and bounded value problems for fractional order differential equations [12, 13, 15, 24].
The article is devoted to the following parabolic initial-boundary value problem with the control parameter: ∂u/∂t="∂2u/∂x2+p(t)u+ϕ x,t),0<x<1,0<t⩽T satisfying u x,0)="f(x),0<x<1; u(0,t)="g0(t), u(1,t)="g1(t), u(x∗,t)="E t),0⩽t⩽T where ϕ x,t),f(x),g0 t),g1(t) and E t) are known functions, u x,t) and p t) are unknown functions.
A special attention was devoted to the solvability of linear initial fractional differential equations on terms of special functions.
The paper is devoted to the study of an initial boundary value problem for a linear second-order differential system with constant coefficients.
It should be noted that most of papers and books on fractional calculus are devoted to the solvability of linear initial fractional differential equations on terms of special functions.
Since research in the lab and in the field both provide evidence that appropriators from common-pool resources do self-organize, the fourth section is devoted to the presentation of an initial theory of self-organization focusing on the benefit-cost calculus of individual appropriators.
To the best of the knowledge of the authors, the results available in the literature are mainly devoted to the IHCP with known initial-boundary value.
This work is devoted to the study of the existence and periodicity of solutions of initial differential problems, paying special attention to the explicit computation of the period.
Unlike in many other works, mainly devoted to the steady state regime, transient processes and the influence of initial conditions are considered.
For various initial boundary problems to this kind system, many articles have been devoted to the existence of the solutions and blowup properties of the solutions [7 9].
He is devoted to the concept.
