Boundary Value Problems

Featured article: ‘On the existence of solutions for some infinite coefficient-symmetric Caputo-Fabrizio fractional integro-differential equations'

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In this article Dumitru Baleanu et al. introduce a new operator entitled the infinite coefficient-symmetric Caputo-Fabrizio fractional derivative by mixing the idea of 2-arrays, continued fractions, and Caputo-Fabrizio fractional derivative. They investigate the approximate solutions for two infinite coefficient-symmetric Caputo-Fabrizio fractional integro-differential problems and analyze two examples to confirm their main results.

Content type: Research
| 24 April 2018

Combined effects of the Hardy potential and lower order terms in fractional Laplacian equations

Authors: Yingyuan Mi, Shuibo Huang and Canyun Huang
Content type: Research
| 24 April 2018

Polynomial energy decay of a wave–Schrödinger transmission system

Authors: Chengqiang Wang
Content type: Research
| 20 April 2018

Pattern formation for a nonlinear diffusion chemotaxis model with logistic source

Authors: Chengying Niu, Haiyan Gao, Shenghu Xu and Guohua Yang
Content type: Research
| 20 April 2018

Existence and quantum calculus of weak solutions for a class of two-dimensional Schrödinger equations in \(\mathbb{C}_{+}\)

Authors: Yifan Xing and Jinhui Zhao
Content type: Commentary
| 17 April 2018

Notes on the result of solutions of the equilibrium equations

Authors: Gaiping He, Lihong Wang and Ben Rodrigo

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Content type: Research
| 11 February 2015

Regularity of weak solutions of the Cauchy problem to a fractional porous medium equation

Authors: Lei Zhang and Shan Li
Content type: Research
| 24 September 2014

Existence of viscosity multi-valued solutions with asymptotic behavior for Hessian equations

Authors: Xianyu Meng and Yongqiang Fu
Content type: Research
| 22 June 2012

A shifted Jacobi-Gauss-Lobatto collocation method for solving nonlinear fractional Langevin equation involving two fractional orders in different intervals

Authors: Ali H Bhrawy and Mohammed A Alghamdi
Content type: Research
| 2 October 2014

Existence of homoclinic solutions for a class of second order p-Laplacian systems with impulsive effects

Authors: Li Li and Kai Chen
Content type: Research
| 8 August 2015

Nagumo theorems of third-order singular nonlinear boundary value problems

Authors: Ming Cheng

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Article Collections

Recent Advances in PDE and Their Applications
Collection published: 23 April 2016

Special Collection in the honor of the Life and Research of Weigao Ge
Collection published: 1 August 2015

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Editorial Board Member Spotlight: Robert Finn

Finn_small Robert Finn’s career has been largely motivated by problems of fluid mechanics, which lead to mathematical interpretations within the disciplines of Analysis and of Geometry. His initial paper characterized a range of pde’s of geometry and of physics, whose solutions admit no isolated singularities. This essentially nonlinear behavior... read more...

View Robert Finn's Springer publications

Aims and scope

The main aim of Boundary Value Problems is to provide a forum to promote, encourage, and bring together various disciplines which use the theory, methods, and applications of boundary value problems. Boundary Value Problems will publish very high quality research articles on boundary value problems for ordinary, functional, difference, elliptic, parabolic, and hyperbolic differential equations. Articles on singular, free, and ill-posed boundary value problems, and other areas of abstract and concrete analysis are welcome. In addition to regular research articles, Boundary Value Problems will publish review articles.