Results on system of Atangana-Baleanu fractional order Willis aneurysm and nonlinear singularly perturb ed boundary value problems

This article concerning to initiate the existence of solutions via fixed point technique for: 1. The Atangana-Baleanu Willis Aneurysm System {0(A) D-B(t)n1 p = q 0(A) (oB)D(t)(n2)q = F cos (wt) - psi q - ap + bp(2) - cp(3) where n(1) > 0, n(2) < 2. 2. Singular perturbations of boundary value problems for non-linear fuzzy differential equations of the second order {epsilon U '' (p) = Theta (p, U (p), U' (p)); 0 < p < 1 with u(0) = theta(1) u (1) = theta(2) where theta(1), theta(2) epsilon J, here J =[0, 1], epsilon rep-resents a small parameter and Theta : J x M x M -> F(M) is a smooth function. (C) 2020 Elsevier Ltd. All rights reserved.

Automated summary

This article discusses the initiation of solutions using fixed point technique for the Atangana-Baleanu Willis Aneurysm System and singular perturbations of boundary value problems for non-linear fuzzy differential equations of the second order, analyzing the equations and conditions of the two problems.