Abstract and Applied Analysis

1996 - 2024

Continuation of Abstract and Applied Analysis.

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Volume 2019, issue 1, 2019

On the Relationship between the Inhomogeneous Wave and Helmholtz Equations in a Fractional Setting

Mateo Dulce and Alexander Getmanenko

Common Fixed Point Theorems for a Pair of Self‐Mappings in Fuzzy Cone Metric Spaces

Saif Ur Rehman, Yongjin Li, Shamoona Jabeen and Tayyab Mahmood

A Convolution Theorem Related to Quaternion Linear Canonical Transform

Mawardi Bahri and Ryuichi Ashino

Hopf‐Bifurcation Analysis of Pneumococcal Pneumonia with Time Delays

Fulgensia Kamugisha Mbabazi, Joseph Y. T. Mugisha and Mark Kimathi

Optimal Control against the Human Papillomavirus: Protection versus Eradication of the Infection

Fernando Saldaña, Andrei Korobeinikov and Ignacio Barradas

The Numbers of Positive Solutions by the Lusternik‐Schnirelmann Category for a Quasilinear Elliptic System Critical with Hardy Terms

Mustapha Khiddi

Constructive Existence of (1,1)‐Solutions to Two‐Point Value Problems for Fuzzy Linear Multiterm Fractional Differential Equations

HuiChol Choi, SungHyok Kwon, Kinam Sin, Sunae Pak and Sungryol So

Inequality of Ostrowski Type for Mappings with Bounded Fourth Order Partial Derivatives

Waseem Ghazi Alshanti

Stable Numerical Solutions Preserving Qualitative Properties of Nonlocal Biological Dynamic Problems

M.-A. Piqueras, R. Company and L. Jódar

Determinantal Representations of General and (Skew‐)Hermitian Solutions to the Generalized Sylvester‐Type Quaternion Matrix Equation

Ivan I. Kyrchei

The Existence of Positive Solution for Semilinear Elliptic Equations with Multiple an Inverse Square Potential and Hardy‐Sobolev Critical Exponents

M. Khiddi

Multiple of Solutions for Nonlocal Elliptic Equations with Critical Exponent Driven by the Fractional p‐Laplacian of Order s

M. Khiddi

The Aronsson Equation, Lyapunov Functions, and Local Lipschitz Regularity of the Minimum Time Function

Pierpaolo Soravia

Fractional Integral and Derivative Formulas by Using Marichev‐Saigo‐Maeda Operators Involving the S‐Function

D. L. Suthar and Hafte Amsalu

Certain Subclasses of Bi‐Close‐to‐Convex Functions Associated with Quasi‐Subordination

Gurmeet Singh, Gurcharanjit Singh and Gagandeep Singh

Blow‐Up of Solutions with High Energies of a Coupled System of Hyperbolic Equations

Jorge A. Esquivel-Avila

On the Resolution of an Inverse Problem by Shape Optimization Techniques

Chahnaz Zakia Timimoun

On a Parametric Mulholland‐Type Inequality and Applications

Bicheng Yang, Meifa Huang and Yanru Zhong

The Modified Coupled Hirota Equation: Riemann‐Hilbert Approach and N‐Soliton Solutions

Siqi Xu

Least‐Norm of the General Solution to Some System of Quaternion Matrix Equations and Its Determinantal Representations

Abdur Rehman, Ivan Kyrchei, Muhammad Akram, Ilyas Ali and Abdul Shakoor

Volume 2018, issue 1, 2018

Fixed Point Theorems for L‐Contractions in Generalized Metric Spaces

Seong-Hoon Cho

Optimal Rational Approximations by the Modified Fourier Basis

Arnak V. Poghosyan and Tigran K. Bakaryan

Multiresolution Analysis Applied to the Monge‐Kantorovich Problem

Armando Sánchez-Nungaray, Carlos González-Flores and Raquiel R. López-Martínez

Time Scale Inequalities of the Ostrowski Type for Functions Differentiable on the Coordinates

Eze R. Nwaeze, Seth Kermausuor and Ana M. Tameru

Numerical Simulation of a One‐Dimensional Water‐Quality Model in a Stream Using a Saulyev Technique with Quadratic Interpolated Initial‐Boundary Conditions

Pawarisa Samalerk and Nopparat Pochai

An Inverse Source Problem for Singular Parabolic Equations with Interior Degeneracy

Khalid Atifi, Idriss Boutaayamou, Hamed Ould Sidi and Jawad Salhi

Some Oscillation Results for Even Order Delay Difference Equations with a Sublinear Neutral Term

Govindasamy Ayyappan and Gunasekaran Nithyakala

Two Sufficient Conditions for Convex Ordering on Risk Aggregation

Dan Zhu and Chuancun Yin

An Extended Generalized q‐Extensions for the Apostol Type Polynomials

Letelier Castilla, William Ramírez and Alejandro Urieles

A Novel Method for Solving Nonlinear Volterra Integro‐Differential Equation Systems

Mohammad Hossein Daliri Birjandi, Jafar Saberi-Nadjafi and Asghar Ghorbani

Exact Null Controllability, Stabilizability, and Detectability of Linear Nonautonomous Control Systems: A Quasisemigroup Approach

Sutrima Sutrima, Christiana Rini Indrati and Lina Aryati

Multiobjective Optimization, Scalarization, and Maximal Elements of Preorders

Paolo Bevilacqua, Gianni Bosi and Magalì Zuanon

The Implementation of Milstein Scheme in Two‐Dimensional SDEs Using the Fourier Method

Yousef Alnafisah

Qualitative Properties of Nonnegative Solutions for a Doubly Nonlinear Problem with Variable Exponents

Zakariya Chaouai and Abderrahmane El Hachimi

Stability for Linear Volterra Difference Equations in Banach Spaces

Rigoberto Medina

Systems with Local and Nonlocal Diffusions, Mixed Boundary Conditions, and Reaction Terms

Mauricio Bogoya and Julio D. Rossi

Controllability and Observability of Nonautonomous Riesz‐Spectral Systems

Sutrima Sutrima, Christiana Rini Indrati and Lina Aryati

On the Convex and Convex‐Concave Solutions of Opposing Mixed Convection Boundary Layer Flow in a Porous Medium

M. Aïboudi, K. Boudjema Djeffal and B. Brighi

Generalized Fractional‐Order Bernoulli Functions via Riemann‐Liouville Operator and Their Applications in the Evaluation of Dirichlet Series

Jorge Sanchez-Ortiz

On Solvability Theorems of Second‐Order Ordinary Differential Equations with Delay

Nai-Sher Yeh

Estimates on the Bergman Kernels in a Tangential Direction on Pseudoconvex Domains in C3

Sanghyun Cho

C1 Hermite Interpolation with PH Curves Using the Enneper Surface

Hyun Chol Lee, Jae Hoon Kong and Gwangil Kim

Generalized Asymptotically Almost Periodic and Generalized Asymptotically Almost Automorphic Solutions of Abstract Multiterm Fractional Differential Inclusions

G. M. N’Guérékata and Marko Kostić

Necessary and Sufficient Conditions for Set‐Valued Maps with Set Optimization

Abdessamad Oussarhan and Ikram Daidai

A Natural Diffusion Distance and Equivalence of Local Convergence and Local Equicontinuity for a General Symmetric Diffusion Semigroup

Maxim J. Goldberg and Seonja Kim

Existence Theorems on Solvability of Constrained Inclusion Problems and Applications

Teffera M. Asfaw

Generalized Fractional Integral Operators Involving Mittag‐Leffler Function

Hafte Amsalu and D. L. Suthar

On Computability and Applicability of Mann‐Reich‐Sabach‐Type Algorithms for Approximating the Solutions of Equilibrium Problems in Hilbert Spaces

F. O. Isiogugu, P. Pillay and P. U. Nwokoro

On the Rate of Convergence of P‐Iteration, SP‐Iteration, and D‐Iteration Methods for Continuous Nondecreasing Functions on Closed Intervals

Jukkrit Daengsaen and Anchalee Khemphet

The Second Kummer Function with Matrix Parameters and Its Asymptotic Behaviour

Georg Wehowar and Erika Hausenblas

Best Proximity Point Theorems for Cyclic Relatively ρ‐Nonexpansive Mappings in Modular Spaces

Karim Chaira and Samih Lazaiz

Soliton Solutions of the Coupled Schrödinger‐Boussinesq Equations for Kerr Law Nonlinearity

Anwar Ja’afar Mohamad Jawad and Mahmood Jawad Abu-AlShaeer

Global Dynamics of an SVEIR Model with Age‐Dependent Vaccination, Infection, and Latency

Rodrigue Yves M’pika Massoukou, Suares Clovis Oukouomi Noutchie and Richard Guiem

A Deposition Model: Riemann Problem and Flux‐Function Limits of Solutions

Hongjun Cheng and Shiwei Li

A Version of Uncertainty Principle for Quaternion Linear Canonical Transform

Mawardi Bahri, Resnawati and Selvy Musdalifah

Existence and Attractivity Results for Coupled Systems of Nonlinear Volterra–Stieltjes Multidelay Fractional Partial Integral Equations

Saïd Abbas, Mouffak Benchohra, Naima Hamidi and Gaston N’Guérékata

The Existence and Structure of Rotational Systems in the Circle

Jayakumar Ramanathan

Numerical Simulation for a Three‐Dimensional Air Pollution Measurement Model in a Heavy Traffic Area under the Bangkok Sky Train Platform

Kewalee Suebyat and Nopparat Pochai

Solution of Sequential Hadamard Fractional Differential Equations by Variation of Parameter Technique

Mohammed M. Matar

A New Method of Hypothesis Test for Truncated Spline Nonparametric Regression Influenced by Spatial Heterogeneity and Application

Sifriyani, I. N. Budiantara, S. H. Kartiko and Gunardi