Abstract and Applied Analysis

1996 - 2026

Continued by Abstract and Applied Analysis.

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Volume 2026, month 9, 2026

A Fractional-Order Dengue Transmission Model Incorporating Density-Dependent Mosquito Recruitment and Control Interventions pp. 1-20

Thadei Damas Sagamiko

Optimal Polynomial Energy Decay and Spectrum-Determined Exponential Stability for an Euler–Bernoulli Beam With Boundary Memory: Spectral and Sensitivity Analysis pp. 1-20

Marie Esther Anassé, Gossrin Jean-Marc Bomisso and Bérenger Akon Kpata

Nonlocal-to-Local Limits and Diffusion Approximation in Aggregation Models With Finite-Range Interactions pp. 1-12

S. C. Oukouomi Noutchie

Mathematical Analysis of a Fractional-Order SVEIAHR Epidemic Model With a Generalized Incidence Function Based on the Caputo Operator pp. 1-19

Téwendé Emmanuel Nana, Boureima Sangaré and Abou Bakari Diabaté

Assessing the Potential Effect of Antiretroviral Therapy Disruption on HIV Transmission Dynamics pp. 1-19

Herieth Rwezaura

Existence of Solution for a Nonlinear Operator Inclusion Problem and Its Application to a Doubly Nonlinear Elliptic Equation pp. 1-10

Teffera M. Asfaw

Volume 2026, month 8, 2026

An Exhaustive Treatment of Generalized Kolmogorov PDEs pp. 1-8

Sameerah Jamal

Ramified Asymptotic Expansions for Some Linear Initial Value Problem With Mahler Transforms pp. 1-29

Stéphane Malek

Modeling COVID-19 Case Distribution Across Age Groups: Effects of Differential Susceptibility, Age-Specific Severity, and Heterogeneous Contacts pp. 1-17

Victor Yiga, Joseph Ssebuliba, Joseph Y. T. Mugisha, Godwin Kakuba and Henry Kasumba

Fractional-Order Analysis of Norovirus Transmission Dynamics With Optimal Control and Cost-Effectiveness pp. 1-15

James Philbert Mpele

Volume 2026, month 7, 2026

Model-Based Analysis of Gumboro Disease Transmission and the Impact of Prevention Strategies pp. 1-18

Tariku Merga Tolasa, Aychew Wondyfraw Tesfaye, Tesfaye Sama Satana and Yehualashet Bayu

Fixed Point Theorems on C∗-Algebra-Valued G-Metric Spaces and the Best Proximity Results pp. 1-8

Zahra Ghorbani and Abasalt Bodaghi

Volume 2026, month 6, 2026

Evaluating Pre- and Post-Exposure Vaccination for Rabies Control in Dog Populations Using Mathematical Modeling pp. 1-18

Md. Majharul Islam, Md. Haider Ali Biswas and Md Hamidul Islam

Mathematical Modeling of the Dynamics of Female Genital Schistosomiasis as a Risk Factor to Cervical Cancer pp. 1-20

Brenda Achieng Onyango and Michael Onyango Ojiema

(p, k) Matrix Mittag-Leffler and Pochhammer Functions With Applications to Fractional Differential Systems pp. 1-10

Mohamed S. Al–Sheikh, Ahmed Bakhet, Ahmed Adly Mahmoud and Ahmed M. Zahran

Volume 2026, month 5, 2026

A Systematic Study of Multifractal Measures and Dimensions for Image Measures on Moran Sets pp. 1-18

Lixin Guo and Haythem Zyoudi

Optimal Control and Global Sensitivity Analysis of a Multiroute Zika Transmission Model With Wolbachia pp. 1-17

Abdoulaye Sow, Cherif Diallo and Hocine Cherifi

Volume 2026, month 4, 2026

On the Well-Posedness and Stability Analysis of Nonlinear Fractional Integrodifferential Equations Subject to Integral Boundary Constraints pp. 1-27

Yahia Awad, Mirvet Abou Omar, Hussein Fakih and Sami Hammoud

A Midpoint Upwind Numerical Scheme for Singularly Perturbed Differential Difference Equations pp. 1-13

Amare Worku Demsie, Awoke Andargie Tiruneh and Endalew Getnet Tsega

Existence of Nonstationary Fixed Point Results on Multivalued Maps and Fractal Construction Using Trajectories pp. 1-6

A. Herminau Jothy, R. Theivaraman, Rahul Shukla and P. S. Srinivasan

A Review of Certain Modern Special Functions and Their Applications pp. 1-12

Hala Abd Elmageed and Mohamed Abdalla

Volume 2026, month 3, 2026

A Generalized Topology Approach to Trajectory Convergence in Nonautonomous Evolution Equations With Monotone Operators pp. 1-7

Boushra Abbas

Volume 2026, month 2, 2026

Generalized Fractional Integral Operators Involving the H―-Function and Their Applications to Special Functions pp. 1-7

S. Chandak, B. K. Tripathi and Biniyam Shimelis

Mean Value Property Related to the Finsler p-Laplacian pp. 1-6

Benyam Mebrate

Volume 2026, month 1, 2026

Fixed Point Results for Interpolative Kannan Type and Ćirić-Reich-Rus Type Cyclic Contractions in Dislocated Quasi-Rectangular b-Metric Spaces pp. 1-10

Nigussa L. Bayissa and Kidane K. Tola

Heat Transfer of Viscous MHD Nanofluid Flow in the Presence of Solar Radiation With Entropy pp. 1-13

Girma Tafesse Workneh and Aychew Wondyfraw Tesfaye

Volume 2025, month 12, 2025

Crank–Nicolson Method for the Advection-Diffusion Equation Involving a Fractional Laplace Operator pp. 1-17

Martin Nitiema, Thomas Tindano and Windjiré Some

Volume 2025, month 11, 2025

Dynamics of the Fractional-Order Between-Host Cholera Model With Temperature-Dependence pp. 1-10

Owade Kennedy Jackob and Colleta Akinyi

A General Class of Multivariable Mittag–Leffler Function and Its Associated Applications pp. 1-13

B. B. Jaimini, Meenu, Suman Sharma, S. D. Purohit and D. L. Suthar

A Comparative Study of a Fractional-Order Rabies Model With MCMC Estimation Using Singular and Nonsingular Operators pp. 1-20

Jufren Zakayo Ndendya, Joshua A. Mwasunda, Stephen Edward and Nyimvua Shaban

Mean-Square Ulam–Hyers–Rassias Stability of Riemann–Liouville Fractional Stochastic Differential Equations pp. 1-9

Mohsen Alhassoun and Khalil Yahya

Mathematical Modeling and Optimal Control of the Dynamics of an Internal Radicalization Process pp. 1-21

Wendpanga Alain Tapsoba, Yacouba Simpore and Oumar Traore

Volume 2025, month 10, 2025

Fixed Point Results for Cyclic Generalized ψ-Weak Contraction Mapping in Rectangular b-Metric Spaces With Applications pp. 1-10

Nigussa L. Bayissa and Kidane K. Tola

A Caputo Fractional-Order Model for Dog Rabies Transmission With Vaccination: A Case Study of Ulanga District, Tanzania pp. 1-20

Jufren Zakayo Ndendya, Stephen Edward and Maganga Sambo

Fixed Point Results for Geraghty Type Contraction Mapping in Neutrosophic b-Metric Spaces pp. 1-20

M. Pandiselvi, M. Jeyaraman and Rahul Shukla

Advanced Mathematical Approaches for the Kadomtsev–Petviashvili and Bogoyavlensky–Konopelchenko Equations in Applied Sciences pp. 1-12

Md. Abdul Aziz

Volume 2025, month 9, 2025

Mathematical Analysis of the Monkeypox Epidemic With Infective Immigrants Using Real Data From Nigeria pp. 1-16

Philip N. A. Akuka, Baba Seidu and Mehmet Gümüş

Volume 2025, month 8, 2025

On the New Hahn Sequence Space h(2) pp. 1-8

Orhan TuÄŸ

Analysis of the Weak Formulation of a Coupled Nonlinear Parabolic System Modeling a Heat Exchanger pp. 1-10

Kouma Ali Ouattara, Bomisso Gossrin Jean-Marc, Bérenger Akon Kpata and Touré Kidjégbo Augustin

An Innovative Approach to the Product of k-Hybrid Functional Integral Equation pp. 1-12

A. M. A. El-Sayed and Sh. M. Al-Issa

Volume 2025, month 6, 2025

Common Fixed Points Within Framework of F-Modular b-Metric Space and Its Applications pp. 1-12

Parveen Tyagi, Surjeet Singh Chauhan (Gonder), Naveen Mani and Rahul Shukla

Qualitative Behavior of Bidimensional Rational Fuzzy Difference Equations pp. 1-17

Najmeddine Attia and Ahmed Ghezal

Volume 2025, month 5, 2025

Regularity and Classification of Solutions to Fractional-Order Systems With Hartree-Type Nonlinearities pp. 1-13

Yu-Cheng An and Guai-Qi Tian

Volume 2025, month 4, 2025

RETRACTION: The Modification of Kernel Function and Its Applications pp. 1-1

Abstract and Applied Analysis

Fractional Gauss Hypergeometric Power Series Method for Solving Fractional Partial Differential Equations pp. 1-22

Isaac Addai, Benedict Barnes, Isaac Kwame Dontwi and Kwaku Forkuoh Darkwah

Volume 2025, month 3, 2025

The Role of Generalized β−J Contraction Mappings in Neutrosophic Metric Spaces and Its Applications pp. 1-18

M. Pandiselvi, M. Jeyaraman and Rahul Shukla

Some New Application of Extended Wright Function pp. 1-7

Pallavi Sharma, Ekta Mittal, D. L. Suthar and Rajni Gupta

Mathematical Modeling of Brucellosis Transmission Dynamics and Its Age-Specific Applications pp. 1-19

Innocent Sosoma, Eunice Mureithi and Nyimvua Shaban Mbare

Stability of Continuous Time Difference Systems pp. 1-5

Rigoberto Medina

A Higher Order Nonresonant p-Laplacian Boundary Value Problem on an Unbounded Domain pp. 1-8

S. A. Iyase and O. F. Imaga

Modeling, Analyzing, and Simulating the Dynamics of Racism Using a Stochastic Dynamical System pp. 1-17

Aychew Wondyfraw Tesfaye, Tariku Merga Tolasa, Endalew Hawi Cheri and Teferi Mengistu Mekonen

Volume 2025, month 2, 2025

On Shape Optimization Theory With Fractional p-Laplacian Operators pp. 1-12

Malick Fall, Alassane Sy, Ibrahima Faye and Diaraf Seck

Common Fixed Point Results on b-Metric Spaces for Generalized Rational Type ϑ,ψ,φ-Weakly Contractive Mappings With Applications pp. 1-22

Albray Gebremariam Kalo, Kidane Koyas Tola and Haider Ebrahim Yesuf

Volume 2025, month 1, 2025

Singular Integral Equations of Convolution Type With Carleman Shift pp. 1-8

A. S. Nagdy, Kh. M. Hashem, H. E. H. Ebrahim and Mohammad Safi Ullah