D-Index & Metrics Best Publications

D-Index & Metrics

Discipline name D-index D-index (Discipline H-index) only includes papers and citation values for an examined discipline in contrast to General H-index which accounts for publications across all disciplines. Citations Publications World Ranking National Ranking
Mathematics D-index 45 Citations 9,642 405 World Ranking 780 National Ranking 3

Overview

What is he best known for?

The fields of study he is best known for:

  • Mathematical analysis
  • Boundary value problem
  • Differential equation

Sotiris K. Ntouyas mainly investigates Mathematical analysis, Boundary value problem, Fractional calculus, Fixed-point theorem and Fractional differential. Mathematical analysis is represented through his Uniqueness, Differential equation, Numerical partial differential equations, Fixed point and Initial value problem research. His Boundary value problem study combines topics from a wide range of disciplines, such as Class, Contraction principle and Order.

His work carried out in the field of Fractional calculus brings together such families of science as Mathematical economics, Hadamard transform and Inequality. Sotiris K. Ntouyas combines subjects such as Nonlinear boundary value problem, System of differential equations and Nonlinear fractional differential equations with his study of Fixed-point theorem. His Fractional differential study combines topics in areas such as Type and Contraction mapping.

His most cited work include:

  • Impulsive Differential Equations and Inclusions (584 citations)
  • Existence results for fractional order functional differential equations with infinite delay (345 citations)
  • Boundary value problems for differential equations with fractional order and nonlocal conditions (221 citations)

What are the main themes of his work throughout his whole career to date?

Sotiris K. Ntouyas spends much of his time researching Mathematical analysis, Boundary value problem, Fixed-point theorem, Fractional calculus and Uniqueness. His Mathematical analysis and Ordinary differential equation, Numerical partial differential equations, Fixed point, Hadamard transform and Differential equation investigations all form part of his Mathematical analysis research activities. His research investigates the connection between Boundary value problem and topics such as Type that intersect with issues in Variety.

His Fixed-point theorem research is multidisciplinary, incorporating perspectives in Differential inclusion, Initial value problem, Point and Mathematical physics. His studies in Fractional calculus integrate themes in fields like C0-semigroup, Pure mathematics and Fourier integral operator. His study in Uniqueness is interdisciplinary in nature, drawing from both Quantum calculus, Riemann–Stieltjes integral and Contraction mapping.

He most often published in these fields:

  • Mathematical analysis (105.85%)
  • Boundary value problem (97.42%)
  • Fixed-point theorem (72.37%)

What were the highlights of his more recent work (between 2018-2021)?

  • Boundary value problem (97.42%)
  • Fixed-point theorem (72.37%)
  • Uniqueness (55.27%)

In recent papers he was focusing on the following fields of study:

His main research concerns Boundary value problem, Fixed-point theorem, Uniqueness, Applied mathematics and Mathematical analysis. His Boundary value problem research is multidisciplinary, incorporating elements of Fixed point, Fractional calculus, Order and Type. Sotiris K. Ntouyas interconnects Generalization and Pure mathematics in the investigation of issues within Fractional calculus.

His Fixed-point theorem research is multidisciplinary, relying on both Differential inclusion and Hadamard transform. His work deals with themes such as Riemann–Stieltjes integral, Partial differential equation, Ordinary differential equation, Differential equation and Contraction mapping, which intersect with Uniqueness. When carried out as part of a general Mathematical analysis research project, his work on Nonlocal boundary is frequently linked to work in Work, therefore connecting diverse disciplines of study.

Between 2018 and 2021, his most popular works were:

  • Existence Theory for a Fractional q-Integro-Difference Equation with q-Integral Boundary Conditions of Different Orders (17 citations)
  • Existence and uniqueness of solutions for multi-term fractional q -integro-differential equations via quantum calculus (16 citations)
  • Existence and uniqueness of solutions for multi-term fractional q -integro-differential equations via quantum calculus (16 citations)

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Best Publications

Impulsive Differential Equations and Inclusions

Mouffak Benchohra;Johnny Henderson;Sotiris K. Ntouyas.
(2006)

1003 Citations

Existence results for fractional order functional differential equations with infinite delay

M. Benchohra;J. Henderson;S.K. Ntouyas;A. Ouahab.
Journal of Mathematical Analysis and Applications (2008)

633 Citations

Boundary value problems for differential equations with fractional order and nonlocal conditions

M. Benchohra;S. Hamani;S.K. Ntouyas.
Nonlinear Analysis-theory Methods & Applications (2009)

366 Citations

BOUNDARY VALUE PROBLEMS FOR DIFFERENTIAL EQUATIONS WITH FRACTIONAL ORDER

Mouffak Benchohra;Samira Hamani;Sotiris K. Ntouyas.
Surveys in Mathematics and its Applications (2008)

243 Citations

Global Existence for Semilinear Evolution Equations with Nonlocal Conditions

S.K. Ntouyas;P.Ch. Tsamatos.
Journal of Mathematical Analysis and Applications (1997)

232 Citations

Solvability of an m-Point Boundary Value Problem for Second Order Ordinary Differential Equations

C.P. Gupta;S.K. Ntouyas;P.C. Tsamatos.
Journal of Mathematical Analysis and Applications (1995)

198 Citations

Hadamard-Type Fractional Differential Equations, Inclusions and Inequalities

Bashir Ahmad;Ahmed Alsaedi;Sotiris K. Ntouyas;Jessada Tariboon.
(2017)

170 Citations

Quantum calculus on finite intervals and applications to impulsive difference equations

Jessada Tariboon;Sotiris K Ntouyas.
Advances in Difference Equations (2013)

159 Citations

New Existence Results for Nonlinear Fractional Differential Equations with Three-Point Integral Boundary Conditions

Bashir Ahmad;SotirisK K Ntouyas;Ahmed Alsaedi.
Advances in Difference Equations (2011)

152 Citations

Existence results for nonlocal boundary value problems of nonlinear fractional q -difference equations

Bashir Ahmad;Sotiris K Ntouyas;Ioannis K Purnaras.
Advances in Difference Equations (2012)

136 Citations

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Profile was last updated on December 6th, 2021.
Research.com Ranking is based on data retrieved from the Microsoft Academic Graph (MAG).
The ranking d-index is inferred from publications deemed to belong to the considered discipline.

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