singular differential equation
Recently Published Documents


TOTAL DOCUMENTS

36
(FIVE YEARS 2)

H-INDEX

6
(FIVE YEARS 0)

2021 ◽  
Vol 2021 ◽  
pp. 1-8
Author(s):  
Ping Yu ◽  
Hongju Li ◽  
Jian Ding ◽  
Yanli Ma

In this paper, by means of a fixed point theorem for monotone decreasing operators on a cone, we discuss the existence of positive solutions for boundary value problems of nonlinear fractional singular differential equation. The proof of the main result is based on Gatica–Oliker–Waltman fixed-point theorem. At last, an example is given to illustrate our main conclusion.



2020 ◽  
Vol 6 (2) ◽  
pp. 168-183 ◽  
Author(s):  
Yazid Gouari ◽  
Zoubir Dahmani ◽  
Ameth Ndiaye

AbstractIn this paper, we combine the Riemann-Liouville integral operator and Caputo derivative to investigate a nonlinear time-singular differential equation of Lane Emden type. The considered problem involves n fractional Caputo derivatives under the conditions that neither commutativity nor semi group property is satisfied for these derivatives. We prove an existence and uniqueness analytic result by application of Banach contraction principle. Then, another result that deals with the existence of at least one solution is delivered and some sufficient conditions related to this result are established by means of the fixed point theorem of Schaefer. We end the paper by presenting to the reader some illustrative examples.



2020 ◽  
Vol 2020 ◽  
pp. 1-7 ◽  
Author(s):  
Honghui Yin ◽  
Bo Du ◽  
Qing Yang ◽  
Feng Duan

The efficient conditions guaranteeing the existence of homoclinic solutions to second-order singular differential equation with p-Laplacian ϕpx′t′+fx′t+gxt+ht/1−xt=et are established in the paper. Here, ϕps=sp−2s,p>1,f,g,h,e∈Cℝ,ℝ with ht+T=ht. The approach is based on the continuation theorem for coincidence degree theory.



2018 ◽  
Vol 100 (2) ◽  
pp. 139-152
Author(s):  
Manuel Alves ◽  
Elena Alves ◽  
António Leão


Author(s):  
P. K. Sahu ◽  
S. Saha Ray

In this paper, Chebyshev wavelet method (CWM) has been applied to solve the second-order singular differential equations of Lane–Emden type. Firstly, the singular differential equation has been converted to Volterra integro-differential equation and then solved by the CWM. The properties of Chebyshev wavelets were first presented. The properties of Chebyshev wavelets via Gauss–Legendre rule were used to reduce the integral equations to a system of algebraic equations which can be solved numerically by Newton’s method. Convergence analysis of CWM has been discussed. Illustrative examples have been provided to demonstrate the validity and applicability of the present method.



Sign in / Sign up

Export Citation Format

Share Document