# zbMATH — the first resource for mathematics

## Akgül, Ali

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 Author ID: akgul.ali Published as: Akgul, A.; Akgül, A.; Akgül, Ali
 Documents Indexed: 47 Publications since 2012
all top 5

#### Co-Authors

 4 single-authored 19 Inc, Mustafa 8 Băleanu, Dumitru I. 7 Kiliçman, Adem 5 Hashemi, Mir Sajjad 4 Karatas Akgül, Esra 3 Soleymani, Fazlollah 2 Cordero, Alicia 2 Karatas, Esra 2 Khan, Yasir 2 Modanli, Mahmut 2 Sakar, Mehmet Giyas 2 Torregrosa Sanchez, Juan Ramón 1 Ahmad, Aqeel 1 Ahmad, Hijaz 1 Al Qurashi, Maysaa’ Mohamed 1 Ali, Rizwan 1 Aliyu, Aliyu Isa 1 Asjad, Muhammad Imran 1 Boutarfa, Bariza 1 Chu, Yuming 1 Fadaei, Yasin 1 Farman, Muhammad 1 Geng, Fazhan 1 Grow, David E. 1 Imtiaz, Sumiyah 1 Jebreen, Haifa Bin 1 Khan, Tufail A. 1 Khan, Zareen Abdulhameed 1 Kiliç, Bülent 1 Mustafa, Idrees Sedeeq 1 Raheem, S. A. 1 Saldır, Onur 1 Stanimirović, Predrag S. 1 Yusuf, Abdullahi A.
all top 5

#### Serials

 8 Mathematical Methods in the Applied Sciences 6 Abstract and Applied Analysis 3 Chaos, Solitons and Fractals 3 Journal of Computational and Applied Mathematics 3 Advances in Difference Equations 2 Nonlinear Dynamics 2 Discrete and Continuous Dynamical Systems. Series S 2 Mathematics 1 Numerical Methods for Partial Differential Equations 1 Applied Mathematics Letters 1 Complexity 1 Mathematical Problems in Engineering 1 Differential Equations and Dynamical Systems 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Journal of Function Spaces and Applications 1 Boundary Value Problems 1 Waves in Random and Complex Media 1 Journal of Nonlinear Science and Applications 1 An International Journal of Optimization and Control: Theories & Applications (IJOCTA) 1 International Journal of Applied and Computational Mathematics
all top 5

#### Fields

 18 Partial differential equations (35-XX) 17 Numerical analysis (65-XX) 13 Ordinary differential equations (34-XX) 11 Functional analysis (46-XX) 6 Operator theory (47-XX) 4 Real functions (26-XX) 4 Fluid mechanics (76-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Mechanics of deformable solids (74-XX) 2 Functions of a complex variable (30-XX) 2 Difference and functional equations (39-XX) 2 Probability theory and stochastic processes (60-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Potential theory (31-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Mechanics of particles and systems (70-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX) 1 Biology and other natural sciences (92-XX)

#### Citations contained in zbMATH Open

33 Publications have been cited 169 times in 98 Documents Cited by Year
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
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 solutions of fractional Riccati differential equations. Zbl 1422.34060
Sakar, Mehmet Giyas; Akgül, Ali; Baleanu, Dumitru
2017
Explicit solution of telegraph equation based on reproducing kernel method. Zbl 1259.35062
Inc, Mustafa; Akgül, Ali; Kiliçman, Adem
2012
On solutions of variable-order fractional differential equations. Zbl 1368.34009
Akgül, Ali; Inc, Mustafa; Baleanu, Dumitru
2017
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
A novel method for a fractional derivative with non-local and non-singular kernel. Zbl 1415.34007
Akgül, Ali
2018
Approximate solutions for MHD squeezing fluid flow by a novel method. Zbl 1299.76185
Inc, Mustafa; Akgül, Ali
2014
Constructing two powerful methods to solve the Thomas-Fermi equation. Zbl 1372.47034
Akgül, A.; Hashemi, M. S.; Inc, M.; Raheem, S. A.
2017
Reproducing kernel functions for difference equations. Zbl 1348.46030
Akgül, Ali; Inc, Mustafa; Karatas, Esra
2015
New reproducing kernel functions. Zbl 1394.34187
Akgül, Ali
2015
Numerical solutions of the second-order one-dimensional telegraph equation based on reproducing kernel Hilbert space method. Zbl 07095346
Inc, Mustafa; Akgül, Ali; Kılıçman, Adem
2013
Solitary wave solutions of time-space nonlinear fractional Schrödinger’s equation: two analytical approaches. Zbl 1392.35286
Hashemi, M. S.; Akgül, Ali
2018
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
New approach for the Fornberg-Whitham type equations. Zbl 1359.65225
Boutarfa, Bariza; Akgül, Ali; Inc, Mustafa
2017
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
Numerical solution of fractional Bratu type equations with Legendre reproducing kernel method. Zbl 1402.34010
Sakar, Mehmet Giyas; Saldır, Onur; Akgül, Ali
2018
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
Solving delay differential equations by an accurate method with interpolation. Zbl 07095584
2015
Reproducing kernel method for fractional derivative with non-local and non-singular kernel. Zbl 1446.34006
Akgül, Ali
2019
A fractional Newton method with $$2 \alpha$$ th-order of convergence and its stability. Zbl 07112021
Akgül, Ali; Cordero, Alicia; Torregrosa, Juan R.
2019
Asset pricing for an affine jump-diffusion model using an FD method of lines on nonuniform meshes. Zbl 1419.91655
Soleymani, Fazlollah; Akgül, Ali
2019
Solutions of nonlinear systems by reproducing kernel method. Zbl 1412.47012
Akgül, Ali; Khan, Yasir; Akgül, Esra Karatas; Baleanu, Dumitru; Al Qurashi, Maysaa Mohamed
2017
On the solution of higher-order difference equations. Zbl 1391.39008
Akgül, Ali
2017
Numerical solution of seventh-order boundary value problems by a novel method. Zbl 07022998
Inc, Mustafa; Akgül, Ali
2014
Almost oscillatory three-dimensional dynamical systems of first order delay dynamic equations. Zbl 1310.34120
Akgül, A.; Akın, E.
2014
Existence of unique solutions to the telegraph equation in binary reproducing kernel Hilbert spaces. Zbl 1444.35109
Akgül, Ali; Grow, David
2020
Second-order differential subordinations on a class of analytic functions defined by the Rafid operator. Zbl 1417.30007
Akgül, A.
2018
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
A novel simulation methodology of fractional order nuclear science model. Zbl 1391.65182
Akgül, Ali; Khan, Yasir
2017
On a certain subclass of meromorphic functions defined by Hilbert space operator. Zbl 1413.30024
Akgul, A.; Bulut, S.
2016
Existence of unique solutions to the telegraph equation in binary reproducing kernel Hilbert spaces. Zbl 1444.35109
Akgül, Ali; Grow, David
2020
Reproducing kernel method for fractional derivative with non-local and non-singular kernel. Zbl 1446.34006
Akgül, Ali
2019
A fractional Newton method with $$2 \alpha$$ th-order of convergence and its stability. Zbl 07112021
Akgül, Ali; Cordero, Alicia; Torregrosa, Juan R.
2019
Asset pricing for an affine jump-diffusion model using an FD method of lines on nonuniform meshes. Zbl 1419.91655
Soleymani, Fazlollah; Akgül, Ali
2019
A novel method for a fractional derivative with non-local and non-singular kernel. Zbl 1415.34007
Akgül, Ali
2018
Solitary wave solutions of time-space nonlinear fractional Schrödinger’s equation: two analytical approaches. Zbl 1392.35286
Hashemi, M. S.; Akgül, Ali
2018
Numerical solution of fractional Bratu type equations with Legendre reproducing kernel method. Zbl 1402.34010
Sakar, Mehmet Giyas; Saldır, Onur; Akgül, Ali
2018
Second-order differential subordinations on a class of analytic functions defined by the Rafid operator. Zbl 1417.30007
Akgül, A.
2018
On solutions of fractional Riccati differential equations. Zbl 1422.34060
Sakar, Mehmet Giyas; Akgül, Ali; Baleanu, Dumitru
2017
On solutions of variable-order fractional differential equations. Zbl 1368.34009
Akgül, Ali; Inc, Mustafa; Baleanu, Dumitru
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
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
New approach for the Fornberg-Whitham type equations. Zbl 1359.65225
Boutarfa, Bariza; Akgül, Ali; Inc, Mustafa
2017
Solutions of nonlinear systems by reproducing kernel method. Zbl 1412.47012
Akgül, Ali; Khan, Yasir; Akgül, Esra Karatas; Baleanu, Dumitru; Al Qurashi, Maysaa Mohamed
2017
On the solution of higher-order difference equations. Zbl 1391.39008
Akgül, Ali
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
A novel simulation methodology of fractional order nuclear science model. Zbl 1391.65182
Akgül, Ali; Khan, Yasir
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
On a certain subclass of meromorphic functions defined by Hilbert space operator. Zbl 1413.30024
Akgul, A.; Bulut, S.
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
New reproducing kernel functions. Zbl 1394.34187
Akgül, Ali
2015
Solving delay differential equations by an accurate method with interpolation. Zbl 07095584
2015
Approximate solutions for MHD squeezing fluid flow by a novel method. Zbl 1299.76185
Inc, Mustafa; Akgül, Ali
2014
Numerical solution of seventh-order boundary value problems by a novel method. Zbl 07022998
Inc, Mustafa; Akgül, Ali
2014
Almost oscillatory three-dimensional dynamical systems of first order delay dynamic equations. Zbl 1310.34120
Akgül, A.; Akın, E.
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 07095346
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
Explicit solution of telegraph equation based on reproducing kernel method. Zbl 1259.35062
Inc, Mustafa; Akgül, Ali; Kiliçman, Adem
2012
all top 5

#### Cited by 191 Authors

 14 Advances in Difference Equations 8 Abstract and Applied Analysis 5 Computational and Applied Mathematics 5 International Journal of Applied and Computational Mathematics 4 Complexity 4 Mathematical Problems in Engineering 3 Chaos, Solitons and Fractals 3 Applied Mathematics and Computation 3 Journal of Computational and Applied Mathematics 3 Applied Numerical Mathematics 2 Mathematical Methods in the Applied Sciences 2 Numerical Algorithms 2 Turkish Journal of Mathematics 2 Journal of Mathematical Chemistry 2 Nonlinear Dynamics 2 International Journal of Nonlinear Sciences and Numerical Simulation 2 Journal of Applied Mathematics 2 International Journal of Differential Equations 2 Journal of Mathematics 1 Computers & Mathematics with Applications 1 Physica A 1 Reports on Mathematical Physics 1 Ukrainian Mathematical Journal 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Calcolo 1 Mathematics and Computers in Simulation 1 Applied Mathematics Letters 1 Applied Mathematical Modelling 1 Electronic Journal of Differential Equations (EJDE) 1 Differential Equations and Dynamical Systems 1 Honam Mathematical Journal 1 Discrete Dynamics in Nature and Society 1 European Journal of Mechanics. B. Fluids 1 Iranian Journal of Science and Technology. Transaction A: Science 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 South East Asian Journal of Mathematics and Mathematical Sciences 1 Mediterranean Journal of Mathematics 1 Boundary Value Problems 1 European Journal of Pure and Applied Mathematics 1 Mathematical Modelling of Natural Phenomena 1 Discrete and Continuous Dynamical Systems. Series S 1 Tbilisi Mathematical Journal 1 Communications in Theoretical Physics 1 Advances in Differential Equations and Control Processes 1 S$$\vec{\text{e}}$$MA Journal 1 Mathematics