Indian Journal of Pure and Applied Mathematics

2010 - 2026

Current editor(s): Nidhi Chandhoke

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Volume 57, issue 4, 2026

What is the gradient of a scalar function defined on a subspace of square matrices ? pp. 1187-1210

Shriram Srinivasan and Nishant Panda

Bounded solutions in anisotropic degenerate parabolic problems with a singular term pp. 1211-1233

Wahiba Zaater and Hichem Khelifi

A sufficient and necessary condition for one dimensional boundary blow-up problem with p-Laplace operator pp. 1234-1243

Lin-Lin Wang and Yong-Hong Fan

Nonlinear weighted elliptic problem with variable exponents and $$L^1$$ L 1 data pp. 1244-1256

Rabah Mecheter

Logarithmically improved blow-up criteria for the 3D Navier-Stokes/Poisson-Nernst-Planck system pp. 1257-1269

Jihong Zhao, Jiawei Liu and Jianfeng Sun

Multiple solutions for a critical Biharmonic elliptic equation of Kirchhoff type pp. 1270-1281

Jun Lei

On certain k-AP van der Waerden game pp. 1282-1302

Kai An Sim, Wan Muhammad Afif Wan Ruzali, Kok Bin Wong and Chee Kit Ho

Approximation of bivariate Lipschitz continuous functions by hidden variable fractal functions pp. 1303-1317

Vijender Nallapu

The Riemann problem with delta initial data with Dirac delta function in both components for a pressureless gas dynamic model pp. 1318-1339

Zhiqiang Shao

Higher order numerical methods for fractional delay differential equations pp. 1340-1361

Manoj Kumar, Aman Jhinga and Varsha Daftardar-Gejji

Effect of slippage on a translational motion of two interacting non-concentric spheres squeezed by couple stress fluid pp. 1362-1378

Shreen El-Sapa and Noura S. Alsedais

Decomposition of hypercubes into sunlet graphs pp. 1379-1385

Y. M. Borse and A. V. Sonawane

On the regularity for the simplified Ericksen-Leslie system in critical spaces pp. 1386-1396

Zhongbao Zuo

A note on Majorana representation of quantum states pp. 1397-1401

Chi-Kwong Li and Mikio Nakahara

Vallée-Poussin theorem for fractional functional differential equations with integral boundary condition pp. 1402-1410

Alexander Domoshnitsky, Seshadev Padhi and Satyam Narayan Srivastava

Advancing convergence analysis: extending the scope of a sixth order method pp. 1411-1423

Jinny Ann John and Jayakumar Jayaraman

On the eigenvalues of zero divisor graphs associated with commutative rings pp. 1424-1439

Bilal Ahmad Rather

On the z-classes in Fuchsian groups pp. 1440-1445

Debattam Das and Krishnendu Gongopadhyay

Harmonic mean Sylow numbers of nonsolvable groups pp. 1446-1449

C. S. Anabanti and A. K. Asboei

Injectivity in the category of C(X)-algebras pp. 1450-1458

Massoud Amini and Farid Behrouzi

Degenerate Two Variable q-Bernoulli and q-Euler Polynomials pp. 1459-1471

Burak Kurt and Veli Kurt

Positive solutions to nonhomogeneous quasilinear problems with singular and supercritical nonlinearities pp. 1472-1480

Ambesh Kumar Pandey and Rasmita Kar

On the solutions of the Diophantine equation $$F_{n}\pm F_{m}=3^{s}\cdot y^{b}$$ F n ± F m = 3 s · y b pp. 1481-1490

Zafer Şiar and İbrahim Erduran

A linearization technique for solving some quantum optimal control problems governed by the Schrödinger equation pp. 1491-1502

Hajar Alimorad

Uniformly convergent numerical method for two parameter singularly perturbed parabolic differential equations with discontinuous initial condition pp. 1503-1520

Neha Kumari and S. Gowrisankar

Solving wave equations in the space of Schwartz distributions: the beauty of generalised functions in physics pp. 1521-1531

Luca Nanni

A primal-dual interior-point method with full-Newton step for semidefinite optimization pp. 1532-1550

Imene Touil

On the power series related to zero-balanced hypergeometric function pp. 1551-1565

Jiahui Wu and Tiehong Zhao

Zeros and uniqueness problems related to $$\varvec{F^{(k)}-\alpha (z)}$$ F ( k ) - α ( z ) pp. 1566-1582

Yinhao Guo and Kai Liu

Some classical and fractal splines for constrained and shape preserving interpolation and applications in solving differential equations pp. 1583-1607

Richa Jain and Vijender Nallapu

Estimating the circumference of a graph in terms of its leaf number pp. 1608-1618

Jingru Yan

Semi-commutants of toeplitz operators on the Fock-Sobolev space pp. 1619-1627

Jie Qin

A new generalization of the Stirling numbers of the first kind pp. 1628-1639

Abdelghafour Bazeniar, Moussa Ahmia and Said Amrouche

Two highly efficient methods for soliton solutions of the modified Fornberg–Whitham equation pp. 1640-1651

Derya Yıldırım Sucu, Seydi Battal Gazi Karakoc, Khalid K. Ali and Samir Kumar Bhowmik

Dynamical pathology, singular manifold, bilinear forms and solitons on a (3+1)-dimensional Jadaun-Singh equation in aortic dissection pp. 1652-1659

Xin-Yi Gao, Yong-Jiang Guo and Wen-Rui Shan

Estimation of a heat source in a parabolic equation with nonlocal Wentzell boundary condition using a spectral technique pp. 1660-1673

Kamal Rashedi

Volume 57, issue 3, 2026

Note on a class of polynomial sets pp. 693-697

S. J. Rapeli and A. K. Shukla

Elements of $$\pmb {\mathbb Z}_q^*$$ Z q ∗ represented as sum of two special elements pp. 698-706

Zhefeng Xu and Jiankang Wang

Integral solutions of certain Diophantine equations in quadratic fields pp. 707-713

Richa Sharma

Some calculus rules, generalized convexity via convexifactors and their applications pp. 714-723

Bhawna Kohli

On some properties of $$ {\omega }$$ ω -uniqueness in tensor complementarity problem pp. 724-740

A. Dutta, R. Deb and A. K. Das

Existence, stability, and numerical simulations of a fractal-fractional hepatitis B virus model pp. 741-763

Meroua Medjoudja, Mohammed El hadi Mezabia, Fawaz K. Alalhareth and Ahmed Boudaoui

Erratum to: Existence, stability, and numerical simulations of a fractal-fractional hepatitis B virus model pp. 764-767

Meroua Medjoudja, Mohammed El hadi Mezabia, Fawaz K. Alalhareth and Ahmed Boudaoui

The Bogomolov multiplier of Lie superalgebras pp. 768-785

Zeinab Araghi Rostami, Peyman Niroomand and Mohsen Parvizi

A certain generalized Lucas sequence and its application to the permutation binomials over finite fields pp. 786-797

Zhilin Zhang, Hongjian Li and Delu Tian

A study on ordered n-ary (semi)hypergroups and their subsets pp. 798-807

M. Al Tahan and B. Davvaz

Modeling of fluid flow along a small heated irregularity on the plate surface in the framework of double-deck boundary layer structure pp. 808-825

Roman K. Gaydukov

On the sum of powers of distance Laplacian eigenvalues in terms of Wiener index and complement of a graph pp. 826-835

Ummer Mushtaq, S. Pirzada, Mohammad Abrar Ul Haq and Saleem Khan

On Padovan or Perrin numbers as products of three repdigits in base $$\delta $$ δ pp. 836-855

Pagdame Tiebekabe and Kouèssi Norbert Adédji

Delta-shock for a class of non-strictly hyperbolic systems of conservation laws as self-similar viscosity limits pp. 856-867

Shiwei Li

Several formulas and identities related to the Pochhammer k-symbol and application to a case of the Fuss–Catalan–Qi numbers pp. 868-877

Wathek Chammam and Mongia Khlifi

On a sum involving divisor function and the integral part function pp. 878-883

Ya-Fang Feng

Properties of block derangements pp. 884-889

Hossein Moshtagh and Reza Fallah-Moghaddam

Hamilton and Souplet–Zhang type estimations on semilinear parabolic system along geometric flow pp. 890-900

Sujit Bhattacharyya, Shahroud Azami and Shyamal Kumar Hui

String topology of quaternionic Stiefel manifolds pp. 901-911

Rampao K. Sangma and Angom Tiken Singh

Congruence relation between Stirling numbers of the first and second kinds pp. 912-929

A. Lalchhuangliana and S. S. Singh

On the sum of distance signless Laplacian eigenvalues of graphs pp. 930-942

Saleem Khan, S. Pirzada and Kinkar Chandra Das

Generalized Hamming Weight for self-dual codes over $$\mathbb F_{2}+u\mathbb F_{2}$$ F 2 + u F 2 pp. 943-952

Ankur Singh, Siddhartha Siddhiprada Bhoi and Pratyush Kumar

On some restricted overpartition functions pp. 953-969

Nayandeep Deka Baruah and Subhajit Bandyopadhyay

On the Maximum of Entropy for Orthogonal Matrices pp. 970-1009

K. T. Arasu, Manil T. Mohan, Akhilesh Pathak and Ramya Ramachandran Janaki

Generalized Bernstein polynomials pp. 1010-1025

P. N. Agrawal, Neha Bhardwaj and Ruchi Chauhan

Biases amongst products of two Beatty primes in arithmetic progressions pp. 1026-1033

Walid Wannes

Compatibility conditions allowing mono phasic oscillating solutions for the multidimensional incompressible Euler system pp. 1034-1054

Mekki Houbad

Scalar curvature estimation of generalized Ricci–Yamabe solitons pp. 1055-1062

Absos Ali Shaikh, Prosenjit Mandal and Chandan Kumar Mondal

On comparing the coefficients of general product L-functions pp. 1063-1074

Guodong Hua

Further results on alternating two-stage iterative method pp. 1075-1090

Vaibhav Shekhar

On congruences involving harmonic numbers H3n and H3n+r pp. 1091-1102

Laid Elkhiri, Sibel Koparal and Neşe Ömür

Asymptotic behavior of entire solutions in space and time media pp. 1103-1113

Jingjing Cai, Xiaoguo Yuan, Huayu Deng and Kaijun Zhang

Lopsided PMQHSS and double lopsided PMQHSS iteration methods for solving complex symmetric linear equations pp. 1114-1129

Bei-Bei Li, Jing-Jing Cui, Zheng-Ge Huang and Xiao-Feng Xie

Robust numerical scheme for 2D fractional integro-differential equations of Volterra type pp. 1130-1143

Bappa Ghosh and Jugal Mohapatra

A generalized relaxed block positive-semidefinite splitting preconditioner for generalized saddle point linear system pp. 1144-1159

Jun Li, Lingsheng Meng and Shu-Xin Miao

A Menon-type identity derived using Cohen-Ramanujan sum pp. 1160-1165

Arya Chandran and K Vishnu Namboothiri

Fundamental property of $$2 \times n$$ 2 × n row Suslin matrices pp. 1166-1173

Vijay R. Tiwari and Selby Jose

Gallai–Ramsey numbers for rainbow trees and monochromatic double stars or books pp. 1174-1185

Yuan Si

Volume 57, issue 2, 2026

Smooth torus quotients of Schubert varieties in the Grassmannian pp. 273-278

Sarjick Bakshi, S. Senthamarai Kannan and K. Venkata Subrahmanyam

On spectral spread and trace norm of Sombor matrix pp. 279-292

Bilal Ahmad Rather, Muhammad Imran and Adama Diene

Computing the 2-nilpotent multiplier of 2-generator p-groups of class 2 pp. 293-304

E. Khamseh and S. Hadi Jafari

On series involving sine, cosine, and k-colored partition function pp. 305-313

Mateus Alegri and Elen Viviani Pereira Spreafico

A note on the normal complement problem in semisimple group algebras pp. 314-320

Manju Khan and Himanshu Setia

On some representation numbers by $$a\sum x_i^2+b\sum x_ix_j$$ a ∑ x i 2 + b ∑ x i x j representing one pp. 321-337

Ick Sun Eum

A note on the class number of certain real cyclotomic fields pp. 338-343

Om Prakash

Ramanujan-type congruences for partition k-tuples with 5-cores pp. 344-354

Manjil P. Saikia, Abhishek Sarma and Pranjal Talukdar

15 Order types in 36 packages pp. 355-363

V. Kannan and Swapnil Malegaonkar

Closed formulas for 2-domination and 2-outer-independent domination numbers of rooted product graphs pp. 364-374

Abel Cabrera-Martínez, Juan M. Rueda-Vázquez and Jaime Segarra

Critical probabilistic characteristics of the Cramér model for primes and arithmetical properties pp. 375-401

Michel J. G. Weber

Sufficient conditions for fractional [a, b]-deleted graphs pp. 402-408

Sizhong Zhou and Yuli Zhang

On some super-congruences for the coefficients of analytic solutions of certain differential equations pp. 409-418

Guo-Shuai Mao and Hao Zhang

On extension of isometries between the positive unit spheres of $$c_0(\Gamma )$$ c 0 ( Γ ) pp. 419-424

Longfa Sun, Yipeng Zhang, Yinghua Sun and Duanxu Dai

More efficient algorithms for searching for several edges in a hypergraph pp. 425-433

Ting Chen

Hardy–Littlewood maximal function on Locally compact Abelian groups pp. 434-444

Ekaterine Kapanadze, Tengiz Kopaliani and Ani Ozbetelashvili

Tracking the mean of a piecewise stationary sequence pp. 445-452

Ghurumuruhan Ganesan

Conformal Ricci almost solitons with certain soliton vector fields pp. 453-460

Avijit Sarkar and Suparna Halder

Quasi-contraction operators with common fixed point results and applications to stability, well-posedness Ostrowski property pp. 461-469

Jayanta Sarkar, Tanmoy Som and Dhananjay Gopal

Sufficient conditions for component factors in a graph pp. 470-481

Hongzhang Chen, Xiaoyun Lv and Jianxi Li

Action of three generalized derivations on Lie ideals in prime rings with n-Engel condition pp. 482-499

Basudeb Dhara

Distinguishing labelling of sets under the wreath product action of $$\overrightarrow{A_{n}}$$ A n → pp. 500-510

Madhu Dadhwal and Pankaj

Harmonic projections on Besov spaces in the real ball pp. 511-521

Karen Avetisyan

Intersection results for general classes of maps pp. 522-532

Donal O’Regan

Laplacian eigenvalues and eigenspaces of cographs generated by finite sequence pp. 533-544

Santanu Mandal, Ranjit Mehatari and Zoran Stanić

A note on the energy critical inhomogeneous Hartree equation pp. 545-562

Tarek Saanouni and Congming Peng

On L(2, 1)-labeling of zero-divisor graphs of finite commutative rings pp. 563-573

Annayat Ali and Rameez Raja

Clear graph of a ring pp. 574-584

Shabir Ahmad Mir, Cihat Abdioğlu, Nadeem ur Rehman, Mohd Nazim, Muhammed Akkafa and Ece Yetkin Çelikel

Theta function identities and vanishing coefficient results for continued fractions of order sixty-four pp. 585-596

Shraddha Rajkhowa and Nipen Saikia

Multi-step inertial algorithms for equilibrium, fixed point, general systems of variational inequalities and split feasibility problems pp. 597-627

Haiying Li, Jiaoying He and Fenghui Wang

Approximate solution of KdV-Burgers equation using improved PINNs algorithm pp. 628-641

Harender Kumar and Neha Yadav

Ground state solutions to critical Schrödinger–Possion system with steep potential well pp. 642-657

Xiuming Mo, Mengyao Li and Anmin Mao

Cubic residues and their new distributive properties pp. 658-669

Xiaoge Liu and Tianping Zhang

Characterization of $$*$$ ∗ -(strongly) regular rings in terms of $${\mathcal {G}}$$ G -projections pp. 670-678

Tufan Özdin

Collision between weak shock waves for a two-layer blood flow model pp. 679-691

M. Manikandan, M. Venkateshprasath, Sahadeb Kuila and T. Raja Sekhar

Volume 57, issue 1, 2026

Foreword pp. 1-1

Ashutosh Sharma

A Special Issue of the Indian Journal of Pure and Applied Mathematics pp. 2-3

Jugal K. Verma

A survey on the boxicity and cubicity of graphs pp. 4-38

L. Sunil Chandran, Mathew C. Francis and Suraj Kumar Sahoo

Studies on Affine Fibrations and Affine Forms pp. 39-66

Amartya K. Dutta and Neena Gupta

The semi-stable Local Langlands Correspondence pp. 67-113

Eknath Ghate

Existence, regularity, and qualitative properties in choquard-type equations: a contemporary review pp. 114-142

Divya Goel and K. Sreenadh

Variational based NN and PINN for the Poisson problem pp. 143-174

Neela Nataraj and Ramesh Chandra Sau

The Narasimhan-Seshadri Theorem revisited pp. 175-196

Nitin Nitsure

On counting totally imaginary number fields pp. 197-214

A. Raghuram and Qiyao Yu

Elephant random walk with varying memory pp. 215-233

Rahul Roy, Masato Takei and Hideki Tanemura

Partial differential equations in the hyperbolic space: A survey pp. 234-248

Kunnath Sandeep

Multiplicities and density functions in commutative algebra pp. 249-272

V. Trivedi