## Inc, Mustafa

Compute Distance To:
 Author ID: inc.mustafa Published as: Inc, Mustafa; Inc, M.; İnç, Mustafa; Inç, Mustafa; Inç, M.; İnç, M. External Links: ORCID
 Documents Indexed: 169 Publications since 1998 Co-Authors: 137 Co-Authors with 134 Joint Publications 3,411 Co-Co-Authors
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all top 5

### Serials

 16 Chaos, Solitons and Fractals 12 Applied Mathematics and Computation 11 International Journal of Computer Mathematics 9 International Journal of Modern Physics B 8 Physics Letters. A 8 Kybernetes 8 Advances in Difference Equations 8 AIMS Mathematics 6 Abstract and Applied Analysis 6 Journal of Function Spaces 5 Mathematical Methods in the Applied Sciences 4 Nonlinear Dynamics 4 Chaos 4 Nonlinear Analysis. Modelling and Control 4 Waves in Random and Complex Media 3 Mathematical & Computational Applications 3 Communications in Theoretical Physics 3 Mathematics 2 Journal of Geometry and Physics 2 Boundary Value Problems 2 Journal of Nonlinear Science and Applications 2 Advances in Mathematical Physics 1 Modern Physics Letters B 1 Journal of Mathematical Analysis and Applications 1 Journal of Mathematical Physics 1 Physica A 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Zeitschrift fuer Naturforschung, A: Physical Sciences 1 Hadronic Journal 1 Bulletin of the Malaysian Mathematical Society. Second Series 1 Journal of Computational and Applied Mathematics 1 Mathematics and Computers in Simulation 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Soochow Journal of Mathematics 1 Southeast Asian Bulletin of Mathematics 1 Numerical Methods for Partial Differential Equations 1 Applied Mathematics Letters 1 Hacettepe Bulletin of Natural Sciences and Engineering. Series B 1 Bulletin of the Institute of Mathematics. Academia Sinica 1 The Journal of Analysis 1 Far East Journal of Mathematical Sciences 1 Journal of Institute of Mathematics and Computer Sciences. Mathematics Series 1 Voprosy Vychislitel’noĭ i Prikladnoĭ Matematiki 1 Nonlinear Studies 1 Communications in Nonlinear Science and Numerical Simulation 1 International Journal of Applied Mathematics 1 Physica Scripta 1 Journal of Zhejiang University. Science 1 Kragujevac Journal of Mathematics 1 Applied Mathematics E-Notes 1 Acta Physica Polonica B 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Journal of Function Spaces and Applications 1 Applications and Applied Mathematics 1 Discrete and Continuous Dynamical Systems. Series S 1 Symmetry 1 Journal of Mathematical Extension 1 An International Journal of Optimization and Control: Theories & Applications (IJOCTA) 1 Journal of Applied Analysis and Computation 1 Journal of Dynamics and Games 1 Kuwait Journal of Science
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### Fields

 107 Partial differential equations (35-XX) 60 Numerical analysis (65-XX) 38 Ordinary differential equations (34-XX) 18 Dynamical systems and ergodic theory (37-XX) 11 Fluid mechanics (76-XX) 11 Quantum theory (81-XX) 10 Real functions (26-XX) 10 Biology and other natural sciences (92-XX) 8 Optics, electromagnetic theory (78-XX) 7 Statistical mechanics, structure of matter (82-XX) 6 Special functions (33-XX) 6 Functional analysis (46-XX) 6 Operator theory (47-XX) 6 Computer science (68-XX) 5 Integral equations (45-XX) 3 Difference and functional equations (39-XX) 3 General topology (54-XX) 3 Geophysics (86-XX) 2 Mechanics of particles and systems (70-XX) 2 Mechanics of deformable solids (74-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Sequences, series, summability (40-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Differential geometry (53-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Relativity and gravitational theory (83-XX) 1 Systems theory; control (93-XX)

### Citations contained in zbMATH Open

114 Publications have been cited 891 times in 701 Documents Cited by Year
The approximate and exact solutions of the space- and time-fractional Burgers equations with initial conditions by variational iteration method. Zbl 1146.35304
Inc, Mustafa
2008
Two-strain epidemic model involving fractional derivative with Mittag-Leffler kernel. Zbl 1404.92211
Yusuf, Abdullahi; Qureshi, Sania; Inc, Mustafa; Aliyu, Aliyu Isa; Baleanu, Dumitru; Shaikh, Asif Ali
2018
Fractional modeling of blood ethanol concentration system with real data application. Zbl 1406.92325
Qureshi, Sania; Yusuf, Abdullahi; Shaikh, Asif Ali; Inc, Mustafa; Baleanu, Dumitru
2019
Numerical simulation of KdV and mKdv equations with initial conditions by the variational iteration method. Zbl 1142.35572
Inc, Mustafa
2007
On exact solution of Laplace equation with Dirichlet and Neumann boundary conditions by the homotopy analysis method. Zbl 1203.65275
Inc, Mustafa
2007
Fundamental solutions of anomalous diffusion equations with the decay exponential kernel. Zbl 1425.35228
Yang, Xiao-Jun; Feng, Yi-Ying; Cattani, Carlo; Inc, Mustafa
2019
Space-time fractional Rosenou-Haynam equation: Lie symmetry analysis, explicit solutions and conservation laws. Zbl 1445.35298
Baleanu, Dumitru; Inc, Mustafa; Yusuf, Abdullahi; Aliyu, Aliyu Isa
2018
The decomposition method for solving of a class of singular two-point boundary value problems. Zbl 1041.65060
Inc, M.; Evans, D. J.
2003
Numerical solutions of fractional differential equations of Lane-Emden type by an accurate technique. Zbl 1422.34016
Akgül, Ali; Inc, Mustafa; Karatas, Esra; Baleanu, Dumitru
2015
Traveling wave solutions and conservation laws for nonlinear evolution equation. Zbl 1386.37076
Baleanu, Dumitru; Inc, Mustafa; Yusuf, Abdullahi; Aliyu, Aliyu Isa
2018
Reproducing kernel Hilbert space method for solving Bratu’s problem. Zbl 1320.34017
Inc, Mustafa; Akgül, Ali; Geng, Fazhan
2015
An efficient approach to approximate solutions of eighth-order boundary-value problems. Zbl 1060.65078
Inc, M.; Evans, D. J.
2004
On solutions of variable-order fractional differential equations. Zbl 1368.34009
Akgül, Ali; Inc, Mustafa; Baleanu, Dumitru
2017
Modified decomposition method for nonlinear Volterra-Fredholm integral equations. Zbl 1152.45301
Bildik, Necdet; Inc, Mustafa
2007
The new exact solitary wave solutions and stability analysis for the $$(2+1)$$-dimensional Zakharov-Kuznetsov equation. Zbl 1458.35369
Ghanbari, Behzad; Yusuf, Abdullahi; Inc, Mustafa; Baleanu, Dumitru
2019
Conservation laws, soliton-like and stability analysis for the time fractional dispersive long-wave equation. Zbl 1448.35019
Yusuf, Abdullahi; Inc, Mustafa; Aliyu, Aliyu Isa; Baleanu, Dumitru
2018
On numerical doubly periodic wave solutions of the coupled Drinfel’d-Sokolov-Wilson equation by the decomposition method. Zbl 1088.65090
Inc, Mustafa
2006
Application of homotopy analysis method for fin efficiency of convective straight fins with temperature-dependent thermal conductivity. Zbl 1153.65100
Inc, Mustafa
2008
A novel method for solving KdV equation based on reproducing kernel Hilbert space method. Zbl 1266.65178
Inc, Mustafa; Akgül, Ali; Kiliçman, Adem
2013
On numerical solution of Burgers’ equation by homotopy analysis method. Zbl 1217.76019
Inc, Mustafa
2008
Improved $$(G'/G)$$-expansion method for the space and time fractional foam drainage and KdV equations. Zbl 1293.35007
Akgül, Ali; Kılıçman, Adem; Inc, Mustafa
2013
Explicit solution of telegraph equation based on reproducing kernel method. Zbl 1259.35062
Inc, Mustafa; Akgül, Ali; Kiliçman, Adem
2012
Lie symmetry analysis, exact solutions and conservation laws for the time fractional modified Zakharov-Kuznetsov equation. Zbl 1418.35013
Baleanu, Dumitru; Inc, Mustafa; Yusuf, Abdullahi; Aliyu, Aliyu Isa
2017
New compacton and solitary pattern solutions of the nonlinear modified dispersive Klein-Gordon equations. Zbl 1137.35421
Inc, Mustafa
2007
Approximate solutions for MHD squeezing fluid flow by a novel method. Zbl 1299.76185
Inc, Mustafa; Akgül, Ali
2014
A different approach for solving singular two-point boundary value problems. Zbl 1117.65348
Inc, M.; Ergüt, M.; Cherruault, Y.
2005
A new approach to solve a diffusion-convection problem. Zbl 1015.65053
Inc, M.; Cherruault, Y.
2002
New exact solutions for the ZK-MEW equation by using symbolic computation. Zbl 1122.65391
Inc, Mustafa
2007
Efficiency of the new fractional derivative with nonsingular Mittag-Leffler kernel to some nonlinear partial differential equations. Zbl 1442.35533
Yusuf, Abdullahi; Inc, Mustafa; Isa Aliyu, Aliyu; Baleanu, Dumitru
2018
Lie symmetry analysis, exact solutions and conservation laws for the time fractional Caudrey-Dodd-Gibbon-Sawada-Kotera equation. Zbl 07263340
Baleanu, Dumitru; Inc, Mustafa; Yusuf, Abdullahi; Aliyu, Aliyu Isa
2018
New solitary wave solutions with compact support and Jacobi elliptic function solutions for the nonlinearly dispersive Boussinesq equations. Zbl 1148.35069
Inc, Mustafa
2008
Constructing two powerful methods to solve the Thomas-Fermi equation. Zbl 1372.47034
Akgül, A.; Hashemi, M. S.; Inc, M.; Raheem, S. A.
2017
New approach for the Fornberg-Whitham type equations. Zbl 1359.65225
Boutarfa, Bariza; Akgül, Ali; Inc, Mustafa
2017
On numerical soliton solution of the Kaup-Kupershmidt equation and convergence analysis of the decomposition method. Zbl 1088.65089
Inc, M.
2006
On travelling wave solutions of some nonlinear evolution equations. Zbl 1047.65091
Inc, M.; Evans, D. J.
2004
Exact solutions with solitary patterns for the Zakharov-Kuznetsov equations with fully nonlinear dispersion. Zbl 1129.35450
Inc, Mustafa
2007
Theory and application for the system of fractional Burger equations with Mittag Leffler kernel. Zbl 1433.35448
Korpinar, Zeliha; Inc, Mustafa; Bayram, Mustafa
2020
Reproducing kernel functions for difference equations. Zbl 1348.46030
Akgül, Ali; Inc, Mustafa; Karatas, Esra
2015
A computational approach to the wave equations: an application of the decomposition method. Zbl 1058.65112
Inc, M.; Cherruault, Y.; Abbaoui, K.
2004
Periodic wave solutions for the generalized shallow water wave equation by the improved {J}acobi elliptic function method. Zbl 1061.35080
Inc, Mustafa; Ergüt, Mahmut
2005
The first integral method for the time fractional Kaup-Boussinesq system with time dependent coefficient. Zbl 1410.35277
Kilic, Bulent; Inc, Mustafa
2015
A new approach for one-dimensional sine-Gordon equation. Zbl 1422.65274
Akgül, Ali; Inc, Mustafa; Kilicman, Adem; Baleanu, Dumitru
2016
Numerical solutions of the second-order one-dimensional telegraph equation based on reproducing kernel Hilbert space method. Zbl 1470.65181
Inc, Mustafa; Akgül, Ali; Kılıçman, Adem
2013
On solitons and invariant solutions of the magneto-electro-elastic circular rod. Zbl 1366.74016
Hashemi, Mir Sajjad; Inc, Mustafa; Kilic, Bulent; Akgül, Ali
2016
A different approach for soliton solutions of the improved Boussinesq equation. Zbl 1076.65088
Inc, M.; Evans, D. J.
2004
New exact solitary pattern solutions of the nonlinearly dispersive $$R(m, n)$$ equations. Zbl 1147.35348
Inc, Mustafa
2006
Classification of traveling wave solutions for time-fractional fifth-order KdV-like equation. Zbl 1378.35267
Inc, Mustafa; Kılıç, Bülent
2014
Exact special solutions to the nonlinear dispersive $$K(2,2,1)$$ and $$K(3,3,1)$$ equations by He’s variational iteration method. Zbl 1159.35413
Inc, Mustafa
2008
A reliable approach to the Korteweg-de Vries equation. Zbl 1117.65358
Inc, M.; Cherruault, Y.
2005
On numerical solutions of one-dimensional nonlinear Burgers’ equation and convergence of the decomposition method. Zbl 1082.65106
Inc, Mustafa
2005
On numerical solutions of partial differential equations by the decomposition method. Zbl 1080.65098
Inc, Mustafa
2004
A new approach to travelling wave solution of a fourth-order semilinear diffusion equation. Zbl 1059.65092
Inç, M.; Cherruault, Y.
2003
Numerical simulation of the regularized long wave equation by He’s homotopy perturbation method. Zbl 1209.65110
Inc, Mustafa; Uğurlu, Yavuz
2007
Group preserving scheme and reproducing kernel method for the Poisson-Boltzmann equation for semiconductor devices. Zbl 1398.82051
Akgül, Ali; Inc, Mustafa; Hashemi, Mir Sajjad
2017
On multiple soliton similariton-pair solutions, conservation laws via multiplier and stability analysis for the Whitham-Broer-Kaup equations in weakly dispersive media. Zbl 1414.76040
2019
A new application of the reproducing kernel Hilbert space method to solve MHD Jeffery-Hamel flows problem in nonparallel walls. Zbl 1383.76547
Inc, Mustafa; Akgül, Ali; Kılıçman, Adem
2013
On numerical solutions of a new coupled MKdV system by using the Adomian decomposition method and He’s variational iteration method. Zbl 1158.35417
Inc, Mustafa; Cavlak, Ebru
2008
Numerical doubly-periodic solution of the $$(2+1)$$-dimensional Boussinesq equation with initial conditions by the variational iteration method. Zbl 1203.65210
Inc, Mustafa
2007
Symmetry analysis, explicit solutions, and conservation laws of a sixth-order nonlinear Ramani equation. Zbl 1423.35331
Aliyu, Aliyu Isa; Inc, Mustafa; Yusuf, Abdullahi; Baleanu, Dumitru
2018
On optical solitons of the resonant Schrödinger’s equation in optical fibers with dual-power law nonlinearity and time-dependent coefficients. Zbl 1378.35071
Kilic, Bulent; Inc, Mustafa
2015
A comparison of numerical solutions of fourth-order boundary value problems. Zbl 1117.65347
Inc, M.; Cherruault, Y.
2005
A reliable method for obtaining approximate solutions of linear and nonlinear Volterra-Fredholm integro-differential equations. Zbl 1117.65369
Inc, M.; Cherruault, Y.
2005
On the numerical solution of initial value problems for nonlinear trapezoidal formulas with different types. Zbl 1045.65056
Bildik, Necdet; İnç, Mustafa
2003
He’s homotopy perturbation method for solving Korteweg-de Vries Burgers equation with initial condition. Zbl 1197.65150
Inc, Mustafa
2010
Analytical and approximate solutions for complex nonlinear Schrödinger equation via generalized auxiliary equation and numerical schemes. Zbl 1452.35189
Khater, Mostafa M. A.; Lu, Dian-Chen; Attia, Raghda A. M.; Inç, Mustafa
2019
A fractional model of vertical transmission and cure of vector-borne diseases pertaining to the Atangana-Baleanu fractional derivatives. Zbl 1442.92149
Aliyu, Aliyu Isa; Inc, Mustafa; Yusuf, Abdullahi; Baleanu, Dumitru
2018
Mathematical modeling for adsorption process of Dye removal nonlinear equation using power law and exponentially decaying kernels. Zbl 1437.34012
Qureshi, Sania; Yusuf, Abdullahi; Ali Shaikh, Asif; Inc, Mustafa; Baleanu, Dumitru
2020
Optical solitons of the coupled nonlinear Schrödinger’s equation with spatiotemporal dispersion. Zbl 1355.35172
Inc, Mustafa; Ates, Esma; Tchier, Fairouz
2016
Decomposition method for solving parabolic equations in finite domains. Zbl 1088.35503
Inc, Mustafa
2005
A study for obtaining more solitary pattern solutions of fifth-order KdV-like equations. Zbl 1061.35112
Inc, M.; Evans, D. J.
2004
A two step method for the numerical integration of stiff differential equations. Zbl 0951.65067
Bulut, H.; Inc, M.
2000
An approximate solution of fractional cable equation by homotopy analysis method. Zbl 1382.35328
Inc, Mustafa; Cavlak, Ebru; Bayram, Mustafa
2014
Compact and noncompact structures of a three-dimensional $$3\text{DKP}(m,n)$$ equation with nonlinear dispersion. Zbl 1260.37032
Inc, Mustafa
2013
Geometrical interpretation and approximate solution of nonlinear KdV equation. Zbl 1079.35085
Bektas, M.; Inc, M.; Cherruault, Y.
2005
An approximate solitary wave solution with compact support for the modified KdV equation. Zbl 1114.65114
Inc, Mustafa
2007
Constructing solitary pattern solutions of the nonlinear dispersive Zakharov-Kuznetsov equation. Zbl 1197.35229
Inc, Mustafa
2009
Approximate solutions to the conformable Rosenau-Hyman equation using the two-step Adomian decomposition method with Padé approximation. Zbl 1452.34008
Akgül, Ali; Aliyu, Aliyu Isa; Inc, Mustafa; Yusuf, Abdullahi; Baleanu, Dumitru
2020
Generalized squared remainder minimization method for solving multi-term fractional differential equations. Zbl 07357586
Hashemi, Mir Sajjad; Inc, Mustafa; Hajikhah, Somayeh
2021
Optical solitons and modulation instability analysis to the quadratic-cubic nonlinear Schrödinger equation. Zbl 1421.35338
Inc, Mustafa; Aliyu, Aliyu Isa; Yusuf, Abdullahi; Baleanu, Dumitru
2019
Numerical solution of seventh-order boundary value problems by a novel method. Zbl 1474.65228
Inc, Mustafa; Akgül, Ali
2014
Singular 1-soliton solution of the $$\mathrm{K}(m,n)$$ equation with generalized evolutions and its subsidiaries. Zbl 1371.81151
Inc, Mustafa; Ulutaş, Esma; Cavlak, Ebru; Biswas, Anjan
2013
On new traveling wave solutions of potential KdV and ($$3+1$$)-dimensional Burgers equations. Zbl 1350.35056
Tchier, Fairouz; Inan, Ibrahim E.; Ugurlu, Yavuz; Inc, Mustafa; Baleanu, Dumitru
2016
New compact and noncompact solutions of the $$K(k,n)$$ equations. Zbl 1142.35571
Inc, Mustafa
2006
An L-stable extended two-step method for the integration of ordinary differential equations. Zbl 1117.65108
Inc, Mustafa
2007
Decomposition method for nonlinear isothermal magnetostatic atmospheres. Zbl 1065.76204
Inc, M.; Evans, D. J.
2005
Numerical study of a Klein-Gordon equation by the Adomian’s decomposition method. Zbl 1080.65099
Kaya, D.; Bulut, H.; Inc, M.
2005
On the solution of the first order nonlinear equations by the decomposition method. Zbl 0989.35037
Inc, M.; Bulut, H.
2000
On the solution of the nonlinear wave equation by the decomposition method. Zbl 1006.65111
Kaya, D.; Inc, M.
1999
Numerical study for soliton solutions of some nonlinear evolution equations. Zbl 1064.65116
Inc, Mustafa; Evans, David J.
2005
Non-perturbative solution of the Ginzburg-Landau equation. Zbl 0966.35060
İnç, M.; Bildik, N.
1999
New L-stable method for numerical solutions of ordinary differential equations. Zbl 1121.65083
Inc, Mustafa
2007
On numerical solutions of two-dimensional Boussinesq equations by using Adomian decomposition and He’s homotopy perturbation method. Zbl 1197.65154
Mohyud-Din, Syed Tauseef; Inc, Mustafa; Cavlak, Ebru
2010
On new exact special solutions of the GNLS$$(m,n,p,q)$$ equations. Zbl 1197.35269
Inç, Mustafa
2010
On exact special solutions of integrable nonlinear dispersive equation. Zbl 1197.35230
Inc, Mustafa; Bektaş, Mehmet
2009
Diverse chirped optical solitons and new complex traveling waves in nonlinear optical fibers. Zbl 1451.35049
Nestor, Savaissou; Abbagari, Souleymanou; Houwe, Alphonse; Inc, Mustafa; Betchewe, Gambo; Doka, Serge Y.
2020
Abundant analytical solutions of the fractional nonlinear $$(2+1)$$-dimensional BLMP equation arising in incompressible fluid. Zbl 1439.35412
Yue, Chen; Khater, Mostafa M. A.; Inc, Mustafa; Attia, Raghda A. M.; Lu, Dianchen
2020
Solitary wave solutions to the Tzitzeéica type equations obtained by a new efficient approach. Zbl 1461.35095
2019
The first integral method for the perturbed Wadati-Segur-Ablowitz equation with time dependent coefficient. Zbl 1463.35461
Inc, Mustafa; Kilic, Bulent
2016
The discrete tanh method for solving the nonlinear differential-difference equations. Zbl 1443.39004
Houwe, A.; Inc, M.; Doka, S. Y.; Acay, B.; Hoan, L. V. C.
2020
Existence, uniqueness, and stability of fractional hepatitis B epidemic model. Zbl 1451.92295
Khan, Amir; Hussain, Ghulam; Inc, Mustafa; Zaman, Gul
2020
Generalized squared remainder minimization method for solving multi-term fractional differential equations. Zbl 07357586
Hashemi, Mir Sajjad; Inc, Mustafa; Hajikhah, Somayeh
2021
Mild solutions of a fractional partial differential equation with noise. Zbl 1471.35294
Bouteraa, Noureddine; Inc, Mustafa; Akinlar, Mehmet Ali; Bin-Mohsin, Bandar
2021
Numerical solutions of time fractional Zakharov-Kuznetsov equation via natural transform decomposition method with nonsingular kernel derivatives. Zbl 07391756
Zhou, Mei-Xiu; Ravi Kanth, A. S. V.; Aruna, K.; Raghavendar, K.; Rezazadeh, Hadi; Inc, Mustafa; Aly, Ayman A.
2021
Analysis of fractional-order nonlinear dynamic systems under Caputo differential operator. Zbl 1478.34063
Yusuf, Abdullahi; Acay, Bahar; Inc, Mustafa
2021
Theory and application for the system of fractional Burger equations with Mittag Leffler kernel. Zbl 1433.35448
Korpinar, Zeliha; Inc, Mustafa; Bayram, Mustafa
2020
Mathematical modeling for adsorption process of Dye removal nonlinear equation using power law and exponentially decaying kernels. Zbl 1437.34012
Qureshi, Sania; Yusuf, Abdullahi; Ali Shaikh, Asif; Inc, Mustafa; Baleanu, Dumitru
2020
Approximate solutions to the conformable Rosenau-Hyman equation using the two-step Adomian decomposition method with Padé approximation. Zbl 1452.34008
Akgül, Ali; Aliyu, Aliyu Isa; Inc, Mustafa; Yusuf, Abdullahi; Baleanu, Dumitru
2020
Diverse chirped optical solitons and new complex traveling waves in nonlinear optical fibers. Zbl 1451.35049
Nestor, Savaissou; Abbagari, Souleymanou; Houwe, Alphonse; Inc, Mustafa; Betchewe, Gambo; Doka, Serge Y.
2020
Abundant analytical solutions of the fractional nonlinear $$(2+1)$$-dimensional BLMP equation arising in incompressible fluid. Zbl 1439.35412
Yue, Chen; Khater, Mostafa M. A.; Inc, Mustafa; Attia, Raghda A. M.; Lu, Dianchen
2020
The discrete tanh method for solving the nonlinear differential-difference equations. Zbl 1443.39004
Houwe, A.; Inc, M.; Doka, S. Y.; Acay, B.; Hoan, L. V. C.
2020
Existence, uniqueness, and stability of fractional hepatitis B epidemic model. Zbl 1451.92295
Khan, Amir; Hussain, Ghulam; Inc, Mustafa; Zaman, Gul
2020
On the analytical and numerical solutions in the quantum magnetoplasmas: the Atangana conformable derivative $$(1+3)$$-ZK equation with power-law nonlinearity. Zbl 1478.35177
Khater, Mostafa M. A.; Chu, Yu-Ming; Attia, Raghda A. M.; Inc, Mustafa; Lu, Dianchen
2020
Fractional modeling of blood ethanol concentration system with real data application. Zbl 1406.92325
Qureshi, Sania; Yusuf, Abdullahi; Shaikh, Asif Ali; Inc, Mustafa; Baleanu, Dumitru
2019
Fundamental solutions of anomalous diffusion equations with the decay exponential kernel. Zbl 1425.35228
Yang, Xiao-Jun; Feng, Yi-Ying; Cattani, Carlo; Inc, Mustafa
2019
The new exact solitary wave solutions and stability analysis for the $$(2+1)$$-dimensional Zakharov-Kuznetsov equation. Zbl 1458.35369
Ghanbari, Behzad; Yusuf, Abdullahi; Inc, Mustafa; Baleanu, Dumitru
2019
On multiple soliton similariton-pair solutions, conservation laws via multiplier and stability analysis for the Whitham-Broer-Kaup equations in weakly dispersive media. Zbl 1414.76040
2019
Analytical and approximate solutions for complex nonlinear Schrödinger equation via generalized auxiliary equation and numerical schemes. Zbl 1452.35189
Khater, Mostafa M. A.; Lu, Dian-Chen; Attia, Raghda A. M.; Inç, Mustafa
2019
Optical solitons and modulation instability analysis to the quadratic-cubic nonlinear Schrödinger equation. Zbl 1421.35338
Inc, Mustafa; Aliyu, Aliyu Isa; Yusuf, Abdullahi; Baleanu, Dumitru
2019
Solitary wave solutions to the Tzitzeéica type equations obtained by a new efficient approach. Zbl 1461.35095
2019
Two-strain epidemic model involving fractional derivative with Mittag-Leffler kernel. Zbl 1404.92211
Yusuf, Abdullahi; Qureshi, Sania; Inc, Mustafa; Aliyu, Aliyu Isa; Baleanu, Dumitru; Shaikh, Asif Ali
2018
Space-time fractional Rosenou-Haynam equation: Lie symmetry analysis, explicit solutions and conservation laws. Zbl 1445.35298
Baleanu, Dumitru; Inc, Mustafa; Yusuf, Abdullahi; Aliyu, Aliyu Isa
2018
Traveling wave solutions and conservation laws for nonlinear evolution equation. Zbl 1386.37076
Baleanu, Dumitru; Inc, Mustafa; Yusuf, Abdullahi; Aliyu, Aliyu Isa
2018
Conservation laws, soliton-like and stability analysis for the time fractional dispersive long-wave equation. Zbl 1448.35019
Yusuf, Abdullahi; Inc, Mustafa; Aliyu, Aliyu Isa; Baleanu, Dumitru
2018
Efficiency of the new fractional derivative with nonsingular Mittag-Leffler kernel to some nonlinear partial differential equations. Zbl 1442.35533
Yusuf, Abdullahi; Inc, Mustafa; Isa Aliyu, Aliyu; Baleanu, Dumitru
2018
Lie symmetry analysis, exact solutions and conservation laws for the time fractional Caudrey-Dodd-Gibbon-Sawada-Kotera equation. Zbl 07263340
Baleanu, Dumitru; Inc, Mustafa; Yusuf, Abdullahi; Aliyu, Aliyu Isa
2018
Symmetry analysis, explicit solutions, and conservation laws of a sixth-order nonlinear Ramani equation. Zbl 1423.35331
Aliyu, Aliyu Isa; Inc, Mustafa; Yusuf, Abdullahi; Baleanu, Dumitru
2018
A fractional model of vertical transmission and cure of vector-borne diseases pertaining to the Atangana-Baleanu fractional derivatives. Zbl 1442.92149
Aliyu, Aliyu Isa; Inc, Mustafa; Yusuf, Abdullahi; Baleanu, Dumitru
2018
New numerical method for solving tenth order boundary value problems. Zbl 1406.35089
Akgül, Ali; Karatas Akgül, Esra; Baleanu, Dumitru; Inc, Mustafa
2018
A geometric numerical integration method for solving the Volterra integro-differential equations. Zbl 07472014
Hashemi, M. S.; Darvishi, E.; Inc, M.
2018
On solutions of variable-order fractional differential equations. Zbl 1368.34009
Akgül, Ali; Inc, Mustafa; Baleanu, Dumitru
2017
Lie symmetry analysis, exact solutions and conservation laws for the time fractional modified Zakharov-Kuznetsov equation. Zbl 1418.35013
Baleanu, Dumitru; Inc, Mustafa; Yusuf, Abdullahi; Aliyu, Aliyu Isa
2017
Constructing two powerful methods to solve the Thomas-Fermi equation. Zbl 1372.47034
Akgül, A.; Hashemi, M. S.; Inc, M.; Raheem, S. A.
2017
New approach for the Fornberg-Whitham type equations. Zbl 1359.65225
Boutarfa, Bariza; Akgül, Ali; Inc, Mustafa
2017
Group preserving scheme and reproducing kernel method for the Poisson-Boltzmann equation for semiconductor devices. Zbl 1398.82051
Akgül, Ali; Inc, Mustafa; Hashemi, Mir Sajjad
2017
Solving the Lane-Emden equation within a reproducing kernel method and group preserving scheme. Zbl 1394.65050
Hashemi, Mir Sajjad; Akgül, Ali; Inc, Mustafa; Mustafa, Idrees Sedeeq; Baleanu, Dumitru
2017
Travelling wave solutions of generalized Klein-Gordon equations using Jacobi elliptic functions. Zbl 1380.35049
Ates, Esma; Inc, Mustafa
2017
A new approach for one-dimensional sine-Gordon equation. Zbl 1422.65274
Akgül, Ali; Inc, Mustafa; Kilicman, Adem; Baleanu, Dumitru
2016
On solitons and invariant solutions of the magneto-electro-elastic circular rod. Zbl 1366.74016
Hashemi, Mir Sajjad; Inc, Mustafa; Kilic, Bulent; Akgül, Ali
2016
Optical solitons of the coupled nonlinear Schrödinger’s equation with spatiotemporal dispersion. Zbl 1355.35172
Inc, Mustafa; Ates, Esma; Tchier, Fairouz
2016
On new traveling wave solutions of potential KdV and ($$3+1$$)-dimensional Burgers equations. Zbl 1350.35056
Tchier, Fairouz; Inan, Ibrahim E.; Ugurlu, Yavuz; Inc, Mustafa; Baleanu, Dumitru
2016
The first integral method for the perturbed Wadati-Segur-Ablowitz equation with time dependent coefficient. Zbl 1463.35461
Inc, Mustafa; Kilic, Bulent
2016
Numerical solutions of fractional differential equations of Lane-Emden type by an accurate technique. Zbl 1422.34016
Akgül, Ali; Inc, Mustafa; Karatas, Esra; Baleanu, Dumitru
2015
Reproducing kernel Hilbert space method for solving Bratu’s problem. Zbl 1320.34017
Inc, Mustafa; Akgül, Ali; Geng, Fazhan
2015
Reproducing kernel functions for difference equations. Zbl 1348.46030
Akgül, Ali; Inc, Mustafa; Karatas, Esra
2015
The first integral method for the time fractional Kaup-Boussinesq system with time dependent coefficient. Zbl 1410.35277
Kilic, Bulent; Inc, Mustafa
2015
On optical solitons of the resonant Schrödinger’s equation in optical fibers with dual-power law nonlinearity and time-dependent coefficients. Zbl 1378.35071
Kilic, Bulent; Inc, Mustafa
2015
Approximate solutions for MHD squeezing fluid flow by a novel method. Zbl 1299.76185
Inc, Mustafa; Akgül, Ali
2014
Classification of traveling wave solutions for time-fractional fifth-order KdV-like equation. Zbl 1378.35267
Inc, Mustafa; Kılıç, Bülent
2014
An approximate solution of fractional cable equation by homotopy analysis method. Zbl 1382.35328
Inc, Mustafa; Cavlak, Ebru; Bayram, Mustafa
2014
Numerical solution of seventh-order boundary value problems by a novel method. Zbl 1474.65228
Inc, Mustafa; Akgül, Ali
2014
Compactons and topological solitons of the Drinfel’d-Sokolov system. Zbl 1315.35188
Inc, Mustafa; Fendoglu, Eda; Triki, Houria; Biswas, Anjan
2014
A novel method for solving KdV equation based on reproducing kernel Hilbert space method. Zbl 1266.65178
Inc, Mustafa; Akgül, Ali; Kiliçman, Adem
2013
Improved $$(G'/G)$$-expansion method for the space and time fractional foam drainage and KdV equations. Zbl 1293.35007
Akgül, Ali; Kılıçman, Adem; Inc, Mustafa
2013
Numerical solutions of the second-order one-dimensional telegraph equation based on reproducing kernel Hilbert space method. Zbl 1470.65181
Inc, Mustafa; Akgül, Ali; Kılıçman, Adem
2013
A new application of the reproducing kernel Hilbert space method to solve MHD Jeffery-Hamel flows problem in nonparallel walls. Zbl 1383.76547
Inc, Mustafa; Akgül, Ali; Kılıçman, Adem
2013
Compact and noncompact structures of a three-dimensional $$3\text{DKP}(m,n)$$ equation with nonlinear dispersion. Zbl 1260.37032
Inc, Mustafa
2013
Singular 1-soliton solution of the $$\mathrm{K}(m,n)$$ equation with generalized evolutions and its subsidiaries. Zbl 1371.81151
Inc, Mustafa; Ulutaş, Esma; Cavlak, Ebru; Biswas, Anjan
2013
A comparison between Adomian decomposition and Tau methods. Zbl 1470.34166
Bildik, Necdet; Inc, Mustafa
2013
Explicit solution of telegraph equation based on reproducing kernel method. Zbl 1259.35062
Inc, Mustafa; Akgül, Ali; Kiliçman, Adem
2012
He’s homotopy perturbation method for solving Korteweg-de Vries Burgers equation with initial condition. Zbl 1197.65150
Inc, Mustafa
2010
On numerical solutions of two-dimensional Boussinesq equations by using Adomian decomposition and He’s homotopy perturbation method. Zbl 1197.65154
Mohyud-Din, Syed Tauseef; Inc, Mustafa; Cavlak, Ebru
2010
On new exact special solutions of the GNLS$$(m,n,p,q)$$ equations. Zbl 1197.35269
Inç, Mustafa
2010
Constructing solitary pattern solutions of the nonlinear dispersive Zakharov-Kuznetsov equation. Zbl 1197.35229
Inc, Mustafa
2009
On exact special solutions of integrable nonlinear dispersive equation. Zbl 1197.35230
Inc, Mustafa; Bektaş, Mehmet
2009
The approximate and exact solutions of the space- and time-fractional Burgers equations with initial conditions by variational iteration method. Zbl 1146.35304
Inc, Mustafa
2008
Application of homotopy analysis method for fin efficiency of convective straight fins with temperature-dependent thermal conductivity. Zbl 1153.65100
Inc, Mustafa
2008
On numerical solution of Burgers’ equation by homotopy analysis method. Zbl 1217.76019
Inc, Mustafa
2008
New solitary wave solutions with compact support and Jacobi elliptic function solutions for the nonlinearly dispersive Boussinesq equations. Zbl 1148.35069
Inc, Mustafa
2008
Exact special solutions to the nonlinear dispersive $$K(2,2,1)$$ and $$K(3,3,1)$$ equations by He’s variational iteration method. Zbl 1159.35413
Inc, Mustafa
2008
On numerical solutions of a new coupled MKdV system by using the Adomian decomposition method and He’s variational iteration method. Zbl 1158.35417
Inc, Mustafa; Cavlak, Ebru
2008
Numerical simulation of KdV and mKdv equations with initial conditions by the variational iteration method. Zbl 1142.35572
Inc, Mustafa
2007
On exact solution of Laplace equation with Dirichlet and Neumann boundary conditions by the homotopy analysis method. Zbl 1203.65275
Inc, Mustafa
2007
Modified decomposition method for nonlinear Volterra-Fredholm integral equations. Zbl 1152.45301
Bildik, Necdet; Inc, Mustafa
2007
New compacton and solitary pattern solutions of the nonlinear modified dispersive Klein-Gordon equations. Zbl 1137.35421
Inc, Mustafa
2007
New exact solutions for the ZK-MEW equation by using symbolic computation. Zbl 1122.65391
Inc, Mustafa
2007
Exact solutions with solitary patterns for the Zakharov-Kuznetsov equations with fully nonlinear dispersion. Zbl 1129.35450
Inc, Mustafa
2007
Numerical simulation of the regularized long wave equation by He’s homotopy perturbation method. Zbl 1209.65110
Inc, Mustafa; Uğurlu, Yavuz
2007
Numerical doubly-periodic solution of the $$(2+1)$$-dimensional Boussinesq equation with initial conditions by the variational iteration method. Zbl 1203.65210
Inc, Mustafa
2007
An approximate solitary wave solution with compact support for the modified KdV equation. Zbl 1114.65114
Inc, Mustafa
2007
An L-stable extended two-step method for the integration of ordinary differential equations. Zbl 1117.65108
Inc, Mustafa
2007
New L-stable method for numerical solutions of ordinary differential equations. Zbl 1121.65083
Inc, Mustafa
2007
On numerical doubly periodic wave solutions of the coupled Drinfel’d-Sokolov-Wilson equation by the decomposition method. Zbl 1088.65090
Inc, Mustafa
2006
On numerical soliton solution of the Kaup-Kupershmidt equation and convergence analysis of the decomposition method. Zbl 1088.65089
Inc, M.
2006
New exact solitary pattern solutions of the nonlinearly dispersive $$R(m, n)$$ equations. Zbl 1147.35348
Inc, Mustafa
2006
New compact and noncompact solutions of the $$K(k,n)$$ equations. Zbl 1142.35571
Inc, Mustafa
2006
On numerical Jacobi elliptic function solutions of the (1+1)-dimensional dispersive long wave equation by the decomposition method. Zbl 1089.65106
Inc, Mustafa
2006
A different approach for solving singular two-point boundary value problems. Zbl 1117.65348
Inc, M.; Ergüt, M.; Cherruault, Y.
2005
Periodic wave solutions for the generalized shallow water wave equation by the improved {J}acobi elliptic function method. Zbl 1061.35080
Inc, Mustafa; Ergüt, Mahmut
2005
A reliable approach to the Korteweg-de Vries equation. Zbl 1117.65358
Inc, M.; Cherruault, Y.
2005
On numerical solutions of one-dimensional nonlinear Burgers’ equation and convergence of the decomposition method. Zbl 1082.65106
Inc, Mustafa
2005
A comparison of numerical solutions of fourth-order boundary value problems. Zbl 1117.65347
Inc, M.; Cherruault, Y.
2005
A reliable method for obtaining approximate solutions of linear and nonlinear Volterra-Fredholm integro-differential equations. Zbl 1117.65369
Inc, M.; Cherruault, Y.
2005
Decomposition method for solving parabolic equations in finite domains. Zbl 1088.35503
Inc, Mustafa
2005
Geometrical interpretation and approximate solution of nonlinear KdV equation. Zbl 1079.35085
Bektas, M.; Inc, M.; Cherruault, Y.
2005
Decomposition method for nonlinear isothermal magnetostatic atmospheres. Zbl 1065.76204
Inc, M.; Evans, D. J.
2005
Numerical study of a Klein-Gordon equation by the Adomian’s decomposition method. Zbl 1080.65099
Kaya, D.; Bulut, H.; Inc, M.
2005
Numerical study for soliton solutions of some nonlinear evolution equations. Zbl 1064.65116
Inc, Mustafa; Evans, David J.
2005
An efficient approach to approximate solutions of eighth-order boundary-value problems. Zbl 1060.65078
Inc, M.; Evans, D. J.
2004
On travelling wave solutions of some nonlinear evolution equations. Zbl 1047.65091
Inc, M.; Evans, D. J.
2004
A computational approach to the wave equations: an application of the decomposition method. Zbl 1058.65112
Inc, M.; Cherruault, Y.; Abbaoui, K.
2004
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### Cited by 1,160 Authors

 59 Advances in Difference Equations 50 Chaos, Solitons and Fractals 46 Applied Mathematics and Computation 26 International Journal of Computer Mathematics 24 Computers & Mathematics with Applications 24 Communications in Nonlinear Science and Numerical Simulation 20 International Journal of Applied and Computational Mathematics 19 Computational and Applied Mathematics 17 Abstract and Applied Analysis 16 Journal of Computational and Applied Mathematics 16 Advances in Mathematical Physics 14 Mathematical Methods in the Applied Sciences 13 AIMS Mathematics 12 Mathematical Problems in Engineering 11 Nonlinear Dynamics 9 Kybernetes 9 Mathematics and Computers in Simulation 9 Numerical Algorithms 9 Applied Mathematical Modelling 9 Journal of Applied Mathematics 9 Journal of Function Spaces 8 Physica A 8 Applied Numerical Mathematics 8 Fractals 8 Chaos 7 Nonlinear Analysis. Real World Applications 7 Journal of Applied Mathematics and Computing 6 Nonlinear Analysis. Modelling and Control 6 Discrete and Continuous Dynamical Systems. Series S 6 Journal of Applied Analysis and Computation 5 Journal of Mathematical Analysis and Applications 5 Numerical Methods for Partial Differential Equations 5 Mathematical and Computer Modelling 5 International Journal of Numerical Methods for Heat & Fluid Flow 5 Complexity 5 International Journal of Differential Equations 4 Applied Mathematics Letters 4 Journal of the Egyptian Mathematical Society 4 Journal of Mathematical Chemistry 4 Journal of Nonlinear Science and Applications 4 Mathematical Sciences 4 Computational Methods for Differential Equations 3 Journal of Computational Physics 3 Physics Letters. A 3 Reports on Mathematical Physics 3 Journal of Geometry and Physics 3 International Journal of Nonlinear Sciences and Numerical Simulation 3 Mediterranean Journal of Mathematics 3 Boundary Value Problems 3 International Journal for Numerical Methods in Biomedical Engineering 3 Arabian Journal of Mathematics 2 Modern Physics Letters B 2 International Journal of Modern Physics B 2 Computer Physics Communications 2 Journal of Mathematical Physics 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Journal of Scientific Computing 2 Computational Mathematics and Modeling 2 SIAM Journal on Scientific Computing 2 Engineering Analysis with Boundary Elements 2 Arab Journal of Mathematical Sciences 2 Discrete Dynamics in Nature and Society 2 European Journal of Mechanics. B. Fluids 2 Kragujevac Journal of Mathematics 2 Iranian Journal of Science and Technology. Transaction A: Science 2 Hacettepe Journal of Mathematics and Statistics 2 Waves in Random and Complex Media 2 Acta Mechanica Sinica 2 European Journal of Pure and Applied Mathematics 2 Mathematical Modelling of Natural Phenomena 2 Advances in Differential Equations and Control Processes 2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 2 S$$\vec{\text{e}}$$MA Journal 2 Journal of Applied Nonlinear Dynamics 2 Waves, Wavelets and Fractals. Advanced Analysis 1 Acta Mechanica 1 Applicable Analysis 1 Indian Journal of Pure & Applied Mathematics 1 International Journal of Theoretical Physics 1 Journal of the Franklin Institute 1 Journal of Statistical Physics 1 Mathematical Biosciences 1 Nonlinearity 1 Ukrainian Mathematical Journal 1 Calcolo 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Differential Equations 1 Proceedings of the American Mathematical Society 1 Ricerche di Matematica 1 Studies in Applied Mathematics 1 Statistics & Probability Letters 1 Circuits, Systems, and Signal Processing 1 Bulletin of the Iranian Mathematical Society 1 Acta Mathematicae Applicatae Sinica. English Series 1 International Journal of Mathematics 1 European Journal of Applied Mathematics 1 Applications of Mathematics 1 SIAM Journal on Applied Mathematics 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences ...and 57 more Serials