Project supported by the National Natural Science Foundation of China(Nos.12241205 and 12032019);the National Key Research and Development Program of China(No.2022YFA1203200);the Strategic Priority Research Program of Chinese Academy of Sciences(Nos.XDB0620101 and XDB0620103)。
The initial stresses widely exist in elastic materials.While achieving a continuum stress-free configuration through compatible unloading is desirable,mechanical unloading alone frequently proves insufficient,posing c...
supported by National Natural Science Foundation of China(Grant Nos.61973092,62073144,62333006,62173139);Science and Technology Innovation Program of Hunan Province(Grant No.2021RC4030)。
Over the past decade,the study of stability theory in integro-differential systems has grown significantly owing to their relevance in solving physical and engineering problems,such as viscoelasticity and thermo-visco...
It is well-known that interpolation by rational functions results in a more accurate approximation than the polynomials interpolation.However,classical rational interpolation has some deficiencies such as uncontrollab...
In this study, we prove the of existence of solutions of a convolution Volterra integral equation in the space of the Lebesgue integrable function on the set of positive real numbers and with the standard norm defined...
supported by the State Key Program of National Natural Science Foundation of China(Grant No.11931003);by the National Natural Science Foundation of China(Grant Nos.41974133,12126325);by the Postgraduate Scientific Research Innovation Project of Hunan Province(Grant No.CX20200620).
For fractional Volterra integro-differential equations(FVIDEs)with weakly singular kernels,this paper proposes a generalized Jacobi spectral Galerkin method.The basis functions for the provided method are selected gen...