A Collocation Method Based on the Bernoulli Operational Matrix for Solving Nonlinear BVPs Which Arise from the Problems in Calculus of Variation

A Fractional-Order Predator–Prey Model with Ratio-Dependent Functional Response and Linear Harvesting

scientific article published in 2019

A Framework of Directed Network Based Influence-Trust Fuzzy Group Decision Making

A Multiple-Step Legendre-Gauss Collocation Method for Solving Volterra’s Population Growth Model

A New Algorithm for System of Integral Equations

A New Application of the Reproducing Kernel Hilbert Space Method to Solve MHD Jeffery-Hamel Flows Problem in Nonparallel Walls

article published in 2013

A Note on Approximation of Blending Type Bernstein–Schurer–Kantorovich Operators with Shape Parameter α

scientific article published on 31 December 2023

A Note on Double Laplace Transform and Telegraphic Equations

A Note on Fractional Sumudu Transform

A Note on Some Strongly Sequence Spaces

A Note on Wave Equation and Convolutions

scientific article published in 2007

A Note on the Class of Functions with Bounded Turning

A Novel Integral Operator Transform and Its Application to Some FODE and FPDE with Some Kind of Singularities

article by Abdon Atangana & Adem Kılıçman published 2013 in Mathematical Problems in Engineering

A Novel Method for Solving KdV Equation Based on Reproducing Kernel Hilbert Space Method

A Possible Generalization of Acoustic Wave Equation Using the Concept of Perturbed Derivative Order

article by Abdon Atangana & Adem Kılıçman published 2013 in Mathematical Problems in Engineering

A meta-analysis on the effectiveness of Dynamic mathematics Software on K-12 students' mathematics learning

scientific article published on 24 July 2024

A new approach for one-dimensional sine-Gordon equation

A new hyperchaotic map and its application for image encryption

scientific article published in 2018

A new integral transform on time scales and its applications

A new structure for scaling functions system with Dyadic intervals

article published in 2017

A new version of Jensen’s inequality and related results

ALMOST EVERYWHERE CONVERGENCE OF SOHO WAVELET EXPANSIONS WITH SPHERICAL WAVELET SUMMATION METHOD

article by Raghad S. Shamsah et al published 20 March 2017 in Far East Journal of Mathematical Sciences

Actuarial approach in a mixed fractional Brownian motion with jumps environment for pricing currency option

An analysis on classifications of hyperbolic and elliptic PDEs

An application on the second-order generalized difference equations

An estimate of Sumudu transforms for Boehmians

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An inversion-free method for finding positive definite solution of a rational matrix equation

scientific article published on 19 August 2014

Analysis of a Novel Conformable Fractional Order ASIR Dengue Transmission Model in the Perspective of Bangladesh

scientific article published in June 2024

Analytical Solutions of Boundary Values Problem of 2D and 3D Poisson and Biharmonic Equations by Homotopy Decomposition Method

Analytical Solutions of the Space-Time Fractional Derivative of Advection Dispersion Equation

Analytical and Numerical Approaches for Complicated Nonlinear Equations

Analytical and Numerical Methods for Solving Partial Differential Equations and Integral Equations Arising in Physical Models 2014

Another Method for Proving Certain Reduction Formulas for the Humbert Function ψ2 Due to Brychkov et al. with an Application

scientific article published in 2022

Application of Homotopy Perturbation and Variational Iteration Methods for Fredholm Integrodifferential Equation of Fractional Order

Application of Sumudu Decomposition Method to Solve Nonlinear System Volterra Integrodifferential Equations

Application of Sumudu Decomposition Method to Solve Nonlinear System of Partial Differential Equations

Approximating Common Fixed Points for a Finite Family of Asymptotically Nonexpansive Mappings Using Iteration Process with Errors Terms

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Certain Integral Formulae Associated with the Product of Generalized Hypergeometric Series and Several Elementary Functions Derived from Formulas for the Beta Function

scientific article published in 2022

Circular Intuitionistic Fuzzy ELECTRE III Model for Group Decision Analysis

scientific article published in January 2023

Convergence of Variational Iteration Method for Solving Singular Partial Differential Equations of Fractional Order

Dynamics and Complexity of a New 4D Chaotic Laser System

scientific article published on 07 January 2019

Estimating the polygamma functions for negative integers

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Exact Evaluation of Infinite Series Using Double Laplace Transform Technique

Existence Results for Strong Mixed Vector Equilibrium Problem for Multivalued Mappings

Existence and uniqueness for a class of iterative fractional differential equations

Existence of solutions for a mixed fractional boundary value problem

Explicit Solution of Telegraph Equation Based on Reproducing Kernel Method

article published in 2012

Extended Mixed Vector Equilibrium Problems

article published in 2014

Extended p-adic q-invariant integrals on Zp associated with applications of umbral calculus

Extension and generalization inequalities involving the Khatri-Rao product of several positive matrices

Fractional Calculus and Its Applications in Applied Mathematics and Other Sciences

Fractional Integral Transform and Application

article published in 2015

Fractional Variational Iteration Method and Its Application to Fractional Partial Differential Equation

article published in 2013

Fractional growth model of abalone length

scientific article published in June 2024

Function Spaces, Compact Operators, and Their Applications

article published in 2014

Further Hermite–Hadamard-Type Inequalities for Fractional Integrals with Exponential Kernels

scientific article published on 7 June 2024

Generalized difference strongly summable sequence spaces of fuzzy real numbers defined by ideal convergence and Orlicz function

Generalized equilibrium problem with mixed relaxed monotonicity

Guest Editorial

scholarly article by Irfan Siap et al published February 2014 in Journal of the Franklin Institute

Homotopy Extension Property in Homotopy Theory for Topological Semigroups

Homotopy Perturbation Method for Fractional Black-Scholes European Option Pricing Equations Using Sumudu Transform

Improved ()-Expansion Method for the Space and Time Fractional Foam Drainage and KdV Equations

article published in 2013

Integral Majorization Theorem for Invex Functions

Non-local boundary value problems for impulsive fractional integro-differential equations in Banach spaces

Note on fractional Mellin transform and applications

scientific article published on February 2016

Note on the Convergence Analysis of Homotopy Perturbation Method for Fractional Partial Differential Equations

Note on the Numerical Solutions of the General Matrix Convolution Equations by Using the Iterative Methods and Box Convolution Product

Note on the Solution of Transport Equation by Tau Method and Walsh Functions

Note on the fractional Mittag-Leffler functions by applying the modified Riemann-Liouville derivatives

scientific article published in 2022

Notions of generalized s-convex functions on fractal sets

Numerical Methods for Fractional Order Singular Partial Differential Equations with Variable Coefficients

Numerical Solution of Nonlinear Volterra Integral Equations System Using Simpson’s 3/8 Rule

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Numerical Solutions of Fractional Differential Equations by Using Fractional Explicit Adams Method

scientific article published in 2020

Numerical Solutions of Nonlinear Fractional Partial Differential Equations Arising in Spatial Diffusion of Biological Populations

Numerical Solutions of the Second-Order One-Dimensional Telegraph Equation Based on Reproducing Kernel Hilbert Space Method

Numerical Study of Two-Dimensional Volterra Integral Equations by RDTM and Comparison with DTM

Numerical solution of fractional differential equations with Caputo derivative by using numerical fractional predict–correct technique

scientific article published in 2022

Numerical study for fractional model of non-linear predator-prey biological population dynamical system

scientific article published in 2019

On Certain Classes ofp-Valent Functions by Using Complex-Order and Differential Subordination

On Certain Subclasses of Meromorphically -Valent Functions Associated by the Linear Operator

On Convergents Infinite Products and Some Generalized Inverses of Matrix Sequences

On Cℵ-fibrations in bitopological semigroups

On Existence and Uniqueness of Generalized Solutions for a Mixed–type Differential Equation

scientific article published in 2010

On Integral Transforms and Matrix Functions

On Lower Separation and Regularity Axioms in Fuzzy Topological Spaces

On Modified Mellin Transform of Generalized Functions

On Multiple Convolutions and Time Scales

On One- and Two-Dimensional α–Stancu–Schurer–Kantorovich Operators and Their Approximation Properties

scientific article published in 2022

On Sumudu Transform and System of Differential Equations

On a new class of summation formulas involving the generalized hypergeometric F22 polynomial

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On certain generalized paranormed spaces

On generalized difference Hahn sequence spaces

On geodesic strongly E-convex sets and geodesic strongly E-convex functions

On lacunary statistical boundedness

On properties of geodesic semilocal E-preinvex functions

scientific article published on 20 December 2018

On resonant mixed Caputo fractional differential equations

scientific article published in 2020

On some applications of the space-time fractional derivative

On the Application of Multi-Dimensional Laplace Decomposition Method for Solving Singular Fractional Pseudo-Hyperbolic Equations

scientific article published in 2022

On the Composition and Neutrix Composition of the Delta Function with the Hyperbolic Tangent and Its Inverse Functions

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On the Connection between Kronecker and Hadamard Convolution Products of Matrices and Some Applications

On the Generalized Krätzel Transform and Its Extension to Bohemian Spaces

On the Generalized Mass Transport Equation to the Concept of Variable Fractional Derivative

On the Modified Numerical Methods for Partial Differential Equations Involving Fractional Derivatives

scientific article published on 21 September 2023

On the Neutrix Composition of the Delta and Inverse Hyperbolic Sine Functions

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On the Solutions of Nonlinear Higher-Order Boundary Value Problems by Using Differential Transformation Method and Adomian Decomposition Method

On the generalized Hartley and Hartley-Hilbert transformations

On the solutions of second order generalized difference equations

On the transcendence of some power series

On theS-Invariance Property forS-Flows

Oscillation of solutions of some generalized nonlinear α-difference equations

Pairwise Weakly Regular-Lindelöf Spaces

Portfolio Optimization of Equity Mutual Funds—Malaysian Case Study

Presence and diversity of positive solutions for a Caputo-type fractional order nonlinear differential equation with an advanced argument

scientific article published in 2020

Pricing Currency Option in a Mixed Fractional Brownian Motion with Jumps Environment

Product Property on Generalized Lindelöf Spaces

Recent Developments in Integral Transforms, Special Functions, and Their Extensions to Distributions Theory

Robustness of Operational Matrices of Differentiation for Solving State-Space Analysis and Optimal Control Problems

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SPX Calibration of Option Approximations under Rough Heston Model

scientific article published in 2021

Solitary Wave Solutions of the Boussinesq Equation and Its Improved Form

Solving Delay Differential Equations by an Accurate Method with Interpolation

Solving Fractional Partial Differential Equations with Corrected Fourier Series Method

Some Existence Results for Impulsive Nonlinear Fractional Differential Equations with Closed Boundary Conditions

Some New Classes of Generalized Difference Strongly Summablen-Normed Sequence Spaces Defined by Ideal Convergence and Orlicz Function

Some Remarks on the Sumudu and Laplace Transforms and Applications to Differential Equations

Some approximation results for generalized Kantorovich-type operators

article published in 2013

Some generalized Hermite-Hadamard type integral inequalities for generalized s-convex functions on fractal sets

Some new lacunary statistical convergence with ideals

scientific article published on 10 January 2017

Stochastic SIS Modelling: Coinfection of Two Pathogens in Two-Host Communities

scientific article published on 31 December 2019

Stochastic models in seed dispersals: random walks and birth-death processes

scientific article published on 01 December 2019

Strongly Almost Lacunary -Convergent Sequences

article by Adem Kılıçman & Stuti Borgohain published 2013 in Abstract and Applied Analysis

The Approximate Solution of Fractional Fredholm Integrodifferential Equations by Variational Iteration and Homotopy Perturbation Methods

article published in 2012

The Hermite-Hadamard inequality for r-convex functions

The Rational Third-Kind Chebyshev Pseudospectral Method for the Solution of the Thomas-Fermi Equation over Infinite Interval

article by Majid Tavassoli Kajani et al published 2013 in Mathematical Problems in Engineering

The Split Equality Fixed-Point Problem and Its Applications

scientific article published on 8 July 2024

The Use of Sumudu Transform for Solving Certain Nonlinear Fractional Heat-Like Equations

article published in 2013

The valuation of currency options by fractional Brownian motion

scientific article published on 21 July 2016

Theoretical and Numerical Aspect of Fractional Differential Equations with Purely Integral Conditions

scientific article published in 2021

Theory, methods, and applications of fractional calculus.

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Topological properties of some sequences defined over 2-normed spaces

scientific article published on 14 November 2016

Unbounded solution for a fractional boundary value problem

article published in 2014

Upper bound of fractional differential operator related to univalent functions

article by Adem Kılıçman et al published 10 September 2016 in Mathematical Sciences