Abstract and Applied Analysis

1996 - 2025

Continuation of Abstract and Applied Analysis.

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Volume 2022, issue 1, 2022

On Nonsmooth Global Implicit Function Theorems for Locally Lipschitz Functions from Banach Spaces to Euclidean Spaces

Guy Degla, Cyrille Dansou and Fortuné Dohemeto

Convex Sets and Subharmonicity of the Inverse Norm Function

Mohammad Taghi Heydari

Computational Technique to Study Analytical Solutions to the Fractional Modified KDV‐Zakharov‐Kuznetsov Equation

Mohamed A. Abdoon, Faeza Lafta Hasan and Nidal E. Taha

Approximation Technique for Solving Linear Volterra Integro‐Differential Equations with Boundary Conditions

Mohamed E. A. Alnair and Ahmed A. Khidir

Coupling Shape Optimization and Topological Derivative for Maxwell Equations

Alassane Sy

Strong Convergence Theorem for Finding a Common Solution of Convex Minimization and Fixed Point Problems in CAT(0) Spaces

P. V. Ndlovu, L. O. Jolaoso and Maggie Aphane

Convergence of Mann and Ishikawa Iterative Processes for Some Contractions in Convex Generalized Metric Space

Youness El Kouch and Jamal Mouline

Common Fixed Point Theorem for Multivalued Mappings Using Ternary Relation in G‐Metric Space with an Application

Lucas Wangwe

Maximal Injective Real W∗‐Subalgebras of Tensor Products of Real W∗‐Algebras

A. A. Rakhimov, Muzaffar Nurillaev and Zabidin Salleh

New Subclass of K‐Uniformly Univalent Analytic Functions with Negative Coefficients Defined by Multiplier Transformation

Ma’moun I. Y. Alharayzeh and Firas Ghanim

Using a Divergence Regularization Method to Solve an Ill‐Posed Cauchy Problem for the Helmholtz Equation

Benedict Barnes, Anthony Y. Aidoo and Joseph Ackora-Prah

Solving Nonlinear Fractional Partial Differential Equations Using the Elzaki Transform Method and the Homotopy Perturbation Method

Mohamed. Z. Mohamed, Mohammed Yousif and Amjad E. Hamza

Numerical Solution of the Heat Transfer Equation Coupled with the Darcy Flow Using the Finite Element Method

Mohammed Hirpho

Stability Results for Enriched Contraction Mappings in Convex Metric Spaces

Rekha Panicker and Rahul Shukla

On Solutions to a Class of Functional Differential Equations with Time‐Dependent Coefficients

Muhammad Mohsin, Syed Touqeer H. Shah and Ali A. Zaidi

Coupled Fixed Point Theorems in Topological Spaces with Size Function Topology

Gun Sunyeekhan

Common Best Proximity Point Theorems for Generalized Proximal Weakly Contractive Mappings in b‐Metric Space

Yohannes Gebru and Yitages Negede

Projections in Moduli Spaces of the Kleinian Groups

Hala Alaqad, Jianhua Gong and Gaven Martin

A Study on the Impact of Nonlinear Source Term in Black‐Scholes Option Pricing Model

P. Sozhaeswari, R. Sowrirajan, K. Loganathan and Sonam Gyeltshen

Solutions of a Class of Multiplicatively Advanced Differential Equations II: Fourier Transforms

David W. Pravica, Njinasoa Randriampiry and Michael J. Spurr

Optimal Homotopy Asymptotic Analysis of the Dynamics of Eyring‐Powell Fluid due to Convection Subject to Thermal Stratification and Heat Generation Effect

Solomon Bati Kejela and Emiru Rufo Adula

On the New Generalized Hahn Sequence Space hdp

Orhan Tuğ, Eberhard Malkowsky, Bipan Hazarika and Taja Yaying

Coincidence Fixed‐Point Theorems for p‐Hybrid Contraction Mappings in Gb‐Metric Space with Application

Lucas Wangwe

On Certain Properties of a Univalent Function Associated with Beta Function

Matthew Olanrewaju Oluwayemi, Sunday Olufemi Olatunji and Temitope O. Ogunlade

Discretization Fractional‐Order Biological Model with Optimal Harvesting

Barhoom Noor S. Sh. and Sadiq Al-Nassir

Modelling the Transmission Dynamics of Meningitis among High and Low‐Risk People in Ghana with Cost‐Effectiveness Analysis

Nicholas Kwasi-Do Ohene Opoku, Reindorf Nartey Borkor, Andrews Frimpong Adu, Hannah Nyarkoah Nyarko, Albert Doughan, Edwin Moses Appiah, Biigba Yakubu, Isabel Mensah and Samson Pandam Salifu

On the Timelike Sweeping Surfaces and Singularities in Minkowski 3‐Space E13

Nadia Alluhaibi, Rashad A. Abdel-Baky and Monia Naghi

Preopenness Degree in RL‐Fuzzy Bitopological Spaces

O. H. Khalil, K. E. El-Helow and A. Ghareeb

Boundary Value Problems for Liénard‐Type Equations with Quadratic Dependence on the “Velocity”

A. Kirichuka and F. Sadyrbaev

Time‐like Ruled Surface in One‐Parameter Hyperbolic Dual Spherical Motions

Monia F. Naghi, Rashad A. Abdel-Baky and Fatemah Mofarreh

Fixed Point Results for Generalized (α, ψ)‐Contraction Mapping in Rectangular b‐Metric Spaces

Mustefa Abduletif Mamud and Kidane Koyas Tola

A Positive Answer on Nirenberg’s Problem on Expansive Mappings in Hilbert Spaces

Teffera M. Asfaw

Uniform Convexity and Convergence of a Sequence of Sets in a Complete Geodesic Space

Yasunori Kimura and Shuta Sudo

Measure (ω, c)‐Pseudo‐Almost Periodic Functions and Lasota‐Wazewska Model with Ergodic and Unbounded Oscillating Oxygen Demand

James Larrouy and Gaston M. N’Guérékata

A Weak Convergence Theorem for Common Fixed Points of Two Nonlinear Mappings in Hilbert Spaces

Takanori Ibaraki, Shunsuke Kajiba and Yukio Takeuchi

Asymptotics and Confluence for a Singular Nonlinear q‐Difference‐Differential Cauchy Problem

S. Malek

A Mathematical Model of the Transmission Dynamics and Control of Bovine Brucellosis in Cattle

Stephen Abagna, Baba Seidu and C. S. Bornaa

Corrigendum to “Smarandache Ruled Surfaces according to Frenet‐Serret Frame of a Regular Curve in E3”

Soukaina Ouarab

A New Class of Function with Finitely Many Fixed Points

Matthew O. Oluwayemi and Olubunmi A. Fadipe-Joseph

Volume 2021, issue 1, 2021

Dynamical Behaviors of a Fractional‐Order Three Dimensional Prey‐Predator Model

Noor S. Sh. Barhoom and Sadiq Al-Nassir

Numerical Treatment on Parabolic Singularly Perturbed Differential Difference Equation via Fitted Operator Scheme

Dagnachew Mengstie Tefera, Awoke Andargie Tiruneh and Getachew Adamu Derese

A Source Problem for the Helmholtz Equation via a Dirichlet‐to‐Neumann Map

Kuo-Ming Lee

Group Classification and Conservation Laws of a Class of Hyperbolic Equations

J. C. Ndogmo

Simultaneous Developability of Partner Ruled Surfaces according to Darboux Frame in E3

Soukaina Ouarab

Uncertainty Principles for Heisenberg Motion Group

Walid Amghar

On a p(x)‐Biharmonic Kirchhoff Problem with Navier Boundary Conditions

Hafid Lebrimchi, Mohamed Talbi, Mohammed Massar and Najib Tsouli

Fitted Numerical Scheme for Second‐Order Singularly Perturbed Differential‐Difference Equations with Mixed Shifts

Meku Ayalew, Gashu Gadisa Kiltu and Gemechis File Duressa

On Two Banach‐Type Fixed Points in Bipolar Metric Spaces

Yaé Ulrich Gaba, Maggie Aphane and Vizender Sihag

New Solutions for the Generalized BBM Equation in terms of Jacobi and Weierstrass Elliptic Functions

Alvaro H. Salas, Lorenzo J. Martinez H and David L. Ocampo R

Existence of Solutions for Superlinear Second‐Order System with Noninstantaneous Impulses

Yucheng Bu

Stability Theory for Nullity and Deficiency of Linear Relations

Silas Luliro Kito and Gerald Wanjala

Smarandache Ruled Surfaces according to Frenet‐Serret Frame of a Regular Curve in E3

Soukaina Ouarab

An Extension of the Carathéodory Differentiability to Set‐Valued Maps

Pedro Hurtado, Alexander Leones, M. Martelo and J. B. Moreno

Topologically Transitive and Mixing Properties of Set‐Valued Dynamical Systems

Koon Sang Wong and Zabidin Salleh

Controlled Continuous ∗‐K‐g‐Frames for Hilbert C∗‐Modules

Abdeslam Touri, Hatim Labrigui, Mohamed Rossafi and Samir Kabbaj

The Product‐Type Operators from Hardy Spaces into nth Weighted‐Type Spaces

Ebrahim Abbasi

Exponential Fitted Operator Method for Singularly Perturbed Convection‐Diffusion Type Problems with Nonlocal Boundary Condition

Habtamu Garoma Debela

Guaranteed Deterministic Approach to Superhedging: Case of Binary European Option

Sergey N. Smirnov and Andrey Yu. Zanochkin

Boundary Value Problem for Nonlinear Implicit Generalized Hilfer‐Type Fractional Differential Equations with Impulses

Abdelkrim Salim, Mouffak Benchohra, Jamal Eddine Lazreg and Gaston N’Guérékata

Fixed Point Results for an Almost Generalized α‐Admissible Z‐Contraction in the Setting of Partially Ordered b‐Metric Spaces

Solomon Gebregiorgis Teweldemedhin and Kidane Koyas Tola

Fixed Point Theorems for Set‐Valued L‐Contractions in Branciari Distance Spaces

Seong-Hoon Cho

A Common Fixed Point Theorem for Generalised F‐Kannan Mapping in Metric Space with Applications

Lucas Wangwe and Santosh Kumar

Applications of New Double Integral Transform (Laplace–Sumudu Transform) in Mathematical Physics

Shams A. Ahmed

Cyclic G‐Ω‐Weak Contraction‐Weak Nonexpansive Mappings and Some Fixed Point Theorems in Metric Spaces

Sahar Mohamed Ali Abou Bakr

Fixed Point Theorems for Generalized θ − ϕ−Expansive Mapping in Rectangular Metric Spaces

Mohamed Rossafi, Abdelkarim Kari, El Miloudi Marhrani and Mohamed Aamri

On Solitary Wave Solutions for the Camassa‐Holm and the Rosenau‐RLW‐Kawahara Equations with the Dual‐Power Law Nonlinearities

Nattakorn Sukantamala and Supawan Nanta

Best Proximity Point for Generalized and S‐Geraphty Contractions

Abdelhafid Bassou, Taoufik Sabar and Mohamed Aamri

Null Controllability of a Nonlinear Age Structured Model for a Two‐Sex Population

Amidou Traoré, Okana S. Sougué, Yacouba Simporé and Oumar Traoré

Related Fixed Point Theorems in Partially Ordered b‐Metric Spaces and Applications to Integral Equations

Youssef Errai, El Miloudi Marhrani and Mohamed Aamri

Conformable Sumudu Transform of Space‐Time Fractional Telegraph Equation

Amjad E. Hamza, Mohamed Z. Mohamed, Eltaib M. Abd Elmohmoud and M. Magzoub

Maximum Norm Estimates of the Solution of the Navier‐Stokes Equations in the Halfspace with Bounded Initial Data

Santosh Pathak

Equivalent Characterization on Besov Space

Cong He and Jingchun Chen

The Multiple K‐Riemann Integral

Oussama Kabbouch and Mustapha Najmeddine

Resolution of the Min‐Max Optimization Problem Applied in the Agricultural Sector with the Estimation of Yields by Nonparametric Statistical Approaches

Ghizlane Kouaiba and Driss Mentagui

Lower Semicontinuity in L1 of a Class of Functionals Defined on BV with Carathéodory Integrands

T. Wunderli

A Note on Derivative of Sine Series with Square Root

Sergiusz Kęska

Uniformly Convergent Nonpolynomial Spline Method for Singularly Perturbed Robin‐Type Boundary Value Problems with Discontinuous Source Term

Habtamu Garoma Debela and Gemechis File Duressa

Numerical Solutions for Laminar Boundary Layer Nanofluid Flow along with a Moving Cylinder with Heat Generation, Thermal Radiation, and Slip Parameter

Titilayo Morenike Agbaje and Gilbert Makanda

Weighted Norm Inequalities for Multilinear Fourier Multipliers with Mixed Norm

Mai Fujita

Generalized Refinement of Gauss‐Seidel Method for Consistently Ordered 2‐Cyclic Matrices

Gashaye Dessalew, Tesfaye Kebede, Gurju Awgichew and Assaye Walelign

Some Special Ruled Surfaces Generated by a Direction Curve according to the Darboux Frame and their Characterizations

Nidal Echabbi and Amina Ouazzani Chahdi

Martingale Transforms between Martingale Hardy‐amalgam Spaces

Justice Sam Bansah

New Numerical Algorithm to Solve Variable‐Order Fractional Integrodifferential Equations in the Sense of Hilfer‐Prabhakar Derivative

MohammadHossein Derakhshan

A Numerical Scheme Based on the Chebyshev Functions to Find Approximate Solutions of the Coupled Nonlinear Sine‐Gordon Equations with Fractional Variable Orders

MohammadHossein Derakhshan

New Characterizations for the Essential Norms of Generalized Weighted Composition Operators between Zygmund‐Type Spaces

Mostafa Hassanlou and Amir H. Sanatpour

A Uniformly Convergent Collocation Method for Singularly Perturbed Delay Parabolic Reaction‐Diffusion Problem

Fasika Wondimu Gelu and Gemechis File Duressa

On the Solvability of a Resonant Third‐Order Integral m‐Point Boundary Value Problem on the Half‐Line

O. F. Imaga, J. G. Oghonyon and P. O. Ogunniyi

A Posteriori Error Analysis for a Lagrange Multiplier Method for a Stokes/Biot Fluid‐Poroelastic Structure Interaction Model

Houédanou Koffi Wilfrid

Corrigendum to “WEB‐Spline Finite Elements for the Approximation of Navier‐Lamé System with CA,B Boundary Condition”

Ouadie Koubaiti, Ahmed Elkhalfi and Jaouad El-mekkaoui

Small Modification on Modified Euler Method for Solving Initial Value Problems

Abushet Hayalu Workie

Fixed Point Theorems for (α, k, θ, φ)‐Contraction Multivalued Mappings in b‐Metric Space

Youssef Errai, El Miloudi Marhrani and Mohamed Aamri

The Marichev‐Saigo‐Maeda Fractional Calculus Operators Pertaining to the V‐Function

S. Chandak, Biniyam Shimelis, Nigussie Abeye and A. Padma