In this work, the dynamic response of Euler–Bernoulli beams four different boundary conditions with fractional order internal damping under a traversing moving load is investigated. The assumed to be values constant velocity. A proposed approach obtain closed-form solution problem based on Green’s functions combined decomposition technique in Laplace transform domain introduced. Several cases a...

In section 4.1 a new class of higher order (F,ρi, σj)type I functions are introduced for a vector minimization problem. Various known generalized invex functions such as type-I, second order type-I and second order (F,ρi,σj)-type I are particular cases of higher order (F, ρi, σj)-type I functions. This class of functions is used to establish higher order duality results for a nondifferentiable ...

In the present work, the numerical solution of two-dimensional variable-order fractional cable (VOFC) equation using meshless collocation methods with thin plate spline radial basis functions is considered. In the proposed methods, we first use two schemes of order O(τ2) for the time derivatives and then meshless approach is applied to the space component. Numerical results obtained ...