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Proceedings of the International Conference on Analysis and Applications

An International Conference on Analysis and Applications was held at Kirsehir, Turkey during July 12-15, 2016. Beside 7 plenary talks and 5 invited speakers, more than 240 papers were presented on different topics in Analysis, including Approximation by Linear and Nonlinear Operators, Fixed Point Theory and its Applications, Applications in Differential Equations and Partial Differential equations, Fourier, Wavelet and Harmonic Analysis Methods in Function Spaces, Variational Analysis including Variational Inequalities, Optimization and Applications, Convex Analysis and Applications, Spectral Theory and Differential Operators, Geometry of Banach Spaces, Modern methods in Summability and Approximation, Sequence Spaces and Matrix Transformations, etc. Most of the talks by plenary speakers and invited speakers reflect both the state-of-the-art in abstract research as well as in applications. We shall include papers which lie under the scope of Advances in Difference Equations. We shall also invite other researchers, who could not participate due to one or other reason, to contribute their papers in this special issue.

Edited by Kadri Dogan, Nour El Houda Bouzara and Necip Simsek 

  1. In this paper, we discuss a nonlinear fractional order boundary value problem with nonlocal Erdélyi–Kober and generalized Riemann–Liouville type integral boundary conditions. By using Mawhin continuation theor...

    Authors: Qiao Sun, Shuman Meng and Yujun Cui
    Citation: Advances in Difference Equations 2018 2018:243
  2. The square iterative roots for strictly monotonic and upper semicontinuous functions with one set-valued point were fully described in (Li et al. in Publ. Math. (Debr.) 75:203-220, 2009). As a continuation, we st...

    Authors: Pingping Zhang and Liguo Huang
    Citation: Advances in Difference Equations 2017 2017:367
  3. The aim of this paper is to study the stability and boundedness of solutions of the initial value problem for a class of time-fractional diffusion equations. We first establish a fractional Duhamel principle f...

    Authors: Yanhua Wen, Xian-Feng Zhou and Jun Wang
    Citation: Advances in Difference Equations 2017 2017:230
  4. Using the theorem and properties of the fixed point index in a Banach space and applying a new method to dispose of the impulsive term, we prove that there exists a solvable interval of positive parameter λ in wh...

    Authors: Minmin Wang and Meiqiang Feng
    Citation: Advances in Difference Equations 2017 2017:154
  5. In this paper, we define the 2k-step Jordan-Fibonacci sequence, and then we study the 2k-step Jordan-Fibonacci sequence modulo m. Also, we obtain the cyclic groups from the multiplicative orders of the generating...

    Authors: Omur Deveci, Sait Taş and A Kılıçman
    Citation: Advances in Difference Equations 2017 2017:121
  6. By formulating a new contraction mapping on a product space, the authors originally employed Banach fixed point theorem to derive the LMI-based robust exponential stability criterion for impulsive BAM neural n...

    Authors: Ruofeng Rao, Shouming Zhong and Zhilin Pu
    Citation: Advances in Difference Equations 2017 2017:19
  7. In this work, we study and extend the one-dimensional fractional derivative to the multidimensional space-time fractional derivative, determine the exact solution via the Laplace transform, and develop mathema...

    Authors: Wasan Ajeel Ahmood and Adem Kılıçman
    Citation: Advances in Difference Equations 2016 2016:288