On mild solutions of fractional impulsive differential systems of Sobolev type with fractional nonlocal conditions K. KarthikeyanG. S. MurugapandianZ. Hammouch Original Research 12 May 2022 Pages: 285 - 295
A new Chelyshkov matrix method to solve linear and nonlinear fractional delay differential equations with error analysis Mohammad IzadiŞuayip YüzbaşıWaleed Adel Original Research 06 May 2022 Pages: 267 - 284
Ground state solution for quasi-linear elliptic systems with general source terms on unbounded domain Khalid IskafiAbdelaziz Ahammou Original Research 27 April 2022 Pages: 297 - 304
An error estimation of a Nyström type method for integral-algebraic equations of index-1 Sayed Arsalan SajjadiHashem Saberi NajafiHossein Aminikhah Original Research 17 April 2022 Pages: 253 - 265
Measures of noncompactness in the space of regulated functions \(R (J, \mathbb {R}^{\infty })\) and its application to some nonlinear infinite systems of fractional differential equations Hamid MehravaranHojjatollah Amiri KayvanlooReza Allahyari Original Research 06 April 2022 Pages: 223 - 232
Numerical solution of fractional delay Volterra integro-differential equations by Bernstein polynomials L. MansouriZ. Azimzadeh Original Research 01 April 2022 Pages: 455 - 466
Differential and integrodifferential equations for Gould–Hopper–Frobenius–Euler polynomials Shabir Ahmad MirK. S. NisarSerkan Araci Original Research 30 March 2022 Pages: 247 - 251
A numerical scheme based on Gegenbauer wavelets for solving a class of relaxation–oscillation equations of fractional order Kottakkaran Sooppy NisarFirdous A. Shah Original Research 30 March 2022 Pages: 233 - 245
Numerical study of nonlinear generalized Burgers–Huxley equation by multiquadric quasi-interpolation and pseudospectral method Mahbubeh RahimiHojatollah AdibiMajid Amirfakhrian Original Research 11 March 2022 Pages: 431 - 444
Filter design based on the fractional Fourier transform associated with new convolutions and correlations L. P. CastroL. T. MinhN. M. Tuan Original Research 08 March 2022 Pages: 445 - 454
Advanced shifted sixth-kind Chebyshev tau approach for solving linear one-dimensional hyperbolic telegraph type problem A. G. AttaW. M. Abd-ElhameedY. H. Youssri Original Research Open access 06 March 2022 Pages: 415 - 429
A new numerical strategy for solving nonlinear singular Emden-Fowler delay differential models with variable order Hoda F. AhmedMarina B. Melad Original Research Open access 06 March 2022 Pages: 399 - 413
Solvability of some fractional differential equations in the Hölder space \({\mathcal {H}}_{\gamma }(\mathbb {R_+})\) and their numerical treatment via measures of noncompactness Hojjatollah Amiri KayvanlooMohammad MursaleenFarzaneh Pouladi Najafabadi Original Research 02 March 2022 Pages: 387 - 397
Common fixed points approximation of two generalized alpha nonexpansive mappings in partially ordered uniformly convex Banach space Buthinah A. Bin DehaishRawan K. Alharbi Original Research 23 February 2022 Pages: 379 - 385
Application of numerical solution of linear Fredholm integral equation of the first kind for image restoration H. MesgaraniP. Parmour Original Research 03 February 2022 Pages: 371 - 378
On novel analytical solution of time-fractional Schrödinger equation within a hybrid transform Saima RashidRehana AshrafMadeeha Tahir Original Research 02 February 2022 Pages: 351 - 369
The maximal positive definite solution of the nonlinear matrix equation \(X + A^{*}X^{-1}A+B^{*}X^{-1}B = I \) Khosro SayevandRaziyeh ErfanifarHamid Esmaeili Original Research 23 January 2022 Pages: 337 - 350
A numerical method based on hybrid functions for solving a fractional model of HIV infection of CD4\(^+\) T cells M. R. DoostdarA. R. VahidiE. Babolian Original Research 15 January 2022 Pages: 157 - 167
A numerical method for nonlinear fractional reaction–advection–diffusion equation with piecewise fractional derivative M. H. HeydariA. Atangana Original Research 12 January 2022 Pages: 169 - 181
Structures of exact solutions for the modified nonlinear Schrödinger equation in the sense of conformable fractional derivative Yeşim Sağlam ÖzkanEsra Ünal Yılmaz Original Research 09 January 2022 Pages: 203 - 218
Application of Pell collocation method for solving the general form of time-fractional Burgers equations M. TaghipourH. Aminikhah Original Research 07 January 2022 Pages: 183 - 201
Some computational convergent iterative algorithms to solve nonlinear problems Mohsen RabbaniJi Huan HeMurat Düz Original Research 30 November 2021 Pages: 145 - 156
Correction to: Numerical methods for solving Schröinger equations in complex reproducing kernel Hilbert spaces F. Z. Geng Correction 27 November 2021 Pages: 221 - 221
Numerical solution of the diffusion problem of distributed order based on the Sinc-collocation method Sh. TaherkhaniI. Najafi KhalilsarayeB. Ghayebi Original Research 21 November 2021 Pages: 133 - 144
A new method for solving linear programming problems using Z-numbers’ ranking Fatemeh HasankhaniBehrouz DaneshianFarzin Modarres Khiyabani Original Research 15 November 2021 Pages: 121 - 131
On the fractional integral inclusions having exponential kernels for interval-valued convex functions Taichun ZhouZhengrong YuanTingsong Du Original Research 29 October 2021 Pages: 107 - 120
Application of finite difference method in solving a second- and fourth-order PDE blending denoising model M. R. EslahchiSakine EsmailiRezvan Salehi Original Research 26 October 2021 Pages: 93 - 106
Symmetry reduction, conservation laws and power series solution of time-fractional variable coefficient Caudrey–Dodd–Gibbon–Sawada–Kotera equation ManjeetRajesh Kumar Gupta Original Research 13 October 2021 Pages: 81 - 91
Approximate price of the option under discretization by applying quadratic interpolation and Legendre polynomials H. MesgaraniA. AdlY. Esmaeelzade Aghdam Original Research 10 October 2021 Pages: 51 - 58
On discrete fractional-order Lotka-Volterra model based on the Caputo difference discrete operator Amr ElsonbatyA. A. Elsadany Original Research 06 October 2021 Pages: 67 - 79
Correction to: A note on linear non-Newtonian Volterra integral equations Nihan Güngör Correction 05 October 2021 Pages: 219 - 219
Mean-square convergence analysis of the semi-implicit scheme for stochastic differential equations driven by the Wiener processes L. Torkzadeh Original Research 30 September 2021 Pages: 59 - 66
Optimal control of time-fractional convection–diffusion–reaction problem employing compact integrated RBF method Mahmoud MahmoudiTahereh ShojaeizadehMajid Darehmiraki Original Research 30 September 2021 Pages: 1 - 14
Highly accurate solutions for space–time fractional Schrödinger equations with non-smooth continuous solution using the hybrid clique functions M. H. HeydariM. Razzaghi Original Research 27 September 2021 Pages: 31 - 42
Approximate techniques to solve the partial integro-differential equation arising in operational risk: Adomian decomposition method Mansoureh RasouliMohammad Ali Fariborzi AraghiTayebe Damercheli Original Research 23 September 2021 Pages: 43 - 49
A theoretical approach to ranking of parametric fuzzy numbers using value and left–right ambiguity Rituparna ChutiaSunayana SaikiaMridul Krishna Gogoi Original Research 13 September 2021 Pages: 299 - 315
HTR approach to the asymptotic solutions of supersonic boundary layer problem: the case of slow acoustic waves interacting with streamwise isolated wall roughness Yue KaiKai ZhangZhixiang Yin Original Research 09 September 2021 Pages: 21 - 30
A Legendre spectral-finite difference method for Caputo–Fabrizio time-fractional distributed-order diffusion equation M. FardiJ. Alidousti Original Research 08 September 2021 Pages: 417 - 430
A unique weak solution for the fractional integro-differential schrödinger equations Elyas ShivanianSeyed Jalal Hosseini GhonchehHojjatollah Goudarzi Original Research 07 September 2021 Pages: 15 - 19
Fractal non-polynomial spline method for the solution of fourth-order boundary value problems in plate deflection theory Zainav KhatoonTalat SultanaArshad Khan Original Research 06 September 2021 Pages: 401 - 416
A Taylor–Chebyshev approximation technique to solve the 1D and 2D nonlinear Burgers equations Mohammad IzadiŞuayip YüzbaşıDumitru Baleanu Original Research 01 September 2021 Pages: 459 - 471
Perturbed optical solitons with conformable time-space fractional Gerdjikov–Ivanov equation M. YounisM. BilalS. T. R. Rizvi Original Research 28 August 2021 Pages: 431 - 443
An improved radial basis functions method for the high-order Volterra–Fredholm integro-differential equations Farnaz FarshadmoghadamHaman Deilami AzodiMohammad Reza Yaghouti Original Research 24 August 2021 Pages: 445 - 458
A note on linear non-Newtonian Volterra integral equations Nihan Güngör Original Research 18 August 2021 Pages: 373 - 387
Fourth-order cubic B-spline collocation method for hyperbolic telegraph equation Suruchi SinghSwarn SinghAnu Aggarwal Original Research 14 August 2021 Pages: 389 - 400
A numerical method to solve fractional pantograph differential equations with residual error analysis Elcin GokmenOsman Raşit Isik Original Paper 06 August 2021 Pages: 361 - 371
Modified wavelet method for solving multitype variable-order fractional partial differential equations generated from the modeling of phenomena Haniye DehestaniYadollah OrdokhaniMohsen Razzaghi Original Research 25 July 2021 Pages: 343 - 359
Some concave functions on Lorentzian manifolds Reza MirzaieOmid Rezaei Original Research 23 July 2021 Pages: 317 - 322
High-order exponentially fitted and trigonometrically fitted explicit two-derivative Runge–Kutta-type methods for solving third-order oscillatory problems Khai Chien LeeNorazak SenuSiti Nur Iqmal Ibrahim Original Research 23 July 2021 Pages: 281 - 297
Solving Dirichlet boundary problems for ODEs via swarm intelligence Korhan Günelİclal Gör Original Research 18 July 2021 Pages: 325 - 341