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Mathematics, Volume 7, Issue 2

February 2019 - 103 articles

Cover Story: Derivatives and integrals of arbitrary non-integer (fractional) order were introduced by Leibniz, Euler, Liouville, Riemann,Weyl, and other prominent mathematicians. In this article, we propose desiderata for calling an operator a fractional derivative or a fractional integral based on a small number of time honoured and well established criteria. View this paper.
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Articles (103)

  • Article
  • Open Access
10 Citations
3,641 Views
11 Pages

18 February 2019

In the present work, the concept of F -generalized contractive type mappings by using C -class functions is introduced, and some common fixed point results for weakly isotone increasing set-valued mappings in the setting of ordered partial...

  • Article
  • Open Access
3 Citations
3,739 Views
15 Pages

18 February 2019

The purpose of this paper is to introduce the notion of generalized multivalued ψ , ϕ-type contractions and generalized multivalued ψ , ϕ-type Suzuki contractions and establish some new common fixed point theorems for such multivalued...

  • Article
  • Open Access
34 Citations
5,170 Views
20 Pages

17 February 2019

This study develops an integrated production-inventory model for a two-echelon supply chain network with controllable probabilistic deterioration. The investment in preservation technology is considered a decision variable to control the deteriorated...

  • Feature Paper
  • Article
  • Open Access
15 Citations
3,587 Views
16 Pages

Approximate Controllability of Sub-Diffusion Equation with Impulsive Condition

  • Lakshman Mahto,
  • Syed Abbas,
  • Mokhtar Hafayed and
  • Hari M. Srivastava

17 February 2019

In this work, we study an impulsive sub-diffusion equation as a fractional diffusion equation of order α ∈ ( 0 , 1 ) . Existence, uniqueness and regularity of solution of the problem is established via eigenfunction expansion. Moreo...

  • Article
  • Open Access
76 Citations
3,708 Views
16 Pages

17 February 2019

A divergence measure plays a crucial part in discriminating two probability distributions and drawing inferences constructed on such discrimination. The intention of this study is to propose such a divergence measure based on Jensen inequality and ex...

  • Article
  • Open Access
4 Citations
2,705 Views
13 Pages

16 February 2019

In this paper, a consensus-based method for multi-person decision making (MPDM) using product transitivity with incomplete fuzzy preference relations (IFPRs) is proposed. Additionally, an average aggregation operator has been used at the first level...

  • Article
  • Open Access
30 Citations
3,953 Views
9 Pages

16 February 2019

In this article, by using the monotone iterative technique coupled with the method of upper and lower solution, we obtain the existence of extremal iteration solutions to conformable fractional differential equations involving Riemann-Stieltjes integ...

  • Article
  • Open Access
4 Citations
2,895 Views
19 Pages

16 February 2019

In this paper, we introduce a multiple hybrid implicit iteration method for finding a solution for a monotone variational inequality with a variational inequality constraint over the common solution set of a general system of variational inequalities...

  • Feature Paper
  • Article
  • Open Access
7 Citations
3,099 Views
10 Pages

16 February 2019

In this contribution, we define a new operator sequence which contains analytic functions. Using approximation techniques found by Korovkin, some results are derived. Moreover, a generalization of this operator sequence called Kantorovich type genera...

  • Article
  • Open Access
6 Citations
2,582 Views
12 Pages

15 February 2019

This paper is devoted to studying the existence of best proximity points and convergence for a class of generalized contraction pairs by using the concept of proximally-complete pairs and proximally-complete semi-sharp proximinal pairs. The obtained...

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Mathematics - ISSN 2227-7390