The present work is concerned with the well-posedness and efficient numerical algorithm for a terminal value problem with a generalized Caputo fractional derivative. We investigate the existence and uniqueness of the solution of the terminal value problem, and consider the continuous dependence of the ...
We establish an upper bound on the rate of convergence of the mean integrated squared error. This article is inspired by the article by Tuan and Nane [1].<doi:10.3934/era.2022072V. MaiErkan NaneD. O'ReganN. TuanElectronic Research Archive...
Exact solution of the non-linear differential equation concerning the elastic line of a straight rod due to terminal loading[J]. Int J Non-linear Mech.1982,17(516) : 395.Panayotounakos D.E., Theocaris P.S., `Exact solution of the non-linear differential equation concerning the elastic ...
We consider terminal value problems for time-space fractional pseudo-parabolic equation subjected to a final/terminal value condition. In fact, fractional orders α,s are not exactly known in modeling. These are determined experimentally. The main purpose is to investigate the continuity of the ...
A matrix 𝐴=(𝑎𝑖𝑗)A=(aij) is called an L-matrix if 𝑎𝑖𝑖>0aii>0, ∀𝑖∈𝑁∀i∈N and 𝑎𝑖𝑗≤0aij≤0, 𝑖≠𝑗i≠j. Theorem 2. ([34]). Let A be an L-matrix which is strongly row or column diagonally dominant, i.e., 𝐴𝑒>0Ae>0 or 𝑒...
The LTNE model, indeed, considers the biological medium made up of two different phases existing together, namely the tissue phase (the extravascular fraction made up of cells and interstitial spaces) and the blood phase (the blood flowing in the vessels throughout the tissue). The two phases...