## Akgül, Ali

Compute Distance To:
 Author ID: akgul.ali Published as: Akgül, Ali; Akgül, A.; Akgul, Ali more...less
 Documents Indexed: 92 Publications since 2012 Co-Authors: 96 Co-Authors with 82 Joint Publications 2,866 Co-Co-Authors
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all top 5

### Serials

 14 Mathematical Methods in the Applied Sciences 12 Chaos, Solitons and Fractals 9 International Journal of Applied and Computational Mathematics 7 Journal of Function Spaces 6 Abstract and Applied Analysis 6 AIMS Mathematics 5 Discrete and Continuous Dynamical Systems. Series S 3 Journal of Computational and Applied Mathematics 3 Fractals 3 Advances in Difference Equations 2 Nonlinear Dynamics 2 Mathematics 1 Ukrainian Mathematical Journal 1 Numerical Methods for Partial Differential Equations 1 Applied Mathematics Letters 1 Complexity 1 Analele Științifice ale Universității “Ovidius” Constanța. Seria: Matematică 1 Mathematical Problems in Engineering 1 Differential Equations and Dynamical Systems 1 Nonlinear Dynamics and Systems Theory 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Acta Universitatis Apulensis. Mathematics - Informatics 1 Hacettepe Journal of Mathematics and Statistics 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)
all top 5

### Fields

 34 Ordinary differential equations (34-XX) 28 Numerical analysis (65-XX) 27 Partial differential equations (35-XX) 18 Functional analysis (46-XX) 13 Real functions (26-XX) 12 Biology and other natural sciences (92-XX) 9 Operator theory (47-XX) 9 Fluid mechanics (76-XX) 6 Dynamical systems and ergodic theory (37-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Functions of a complex variable (30-XX) 4 Integral equations (45-XX) 4 Mechanics of deformable solids (74-XX) 3 Difference and functional equations (39-XX) 3 Integral transforms, operational calculus (44-XX) 2 Special functions (33-XX) 2 Probability theory and stochastic processes (60-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Systems theory; control (93-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) 1 Quantum theory (81-XX) 1 Operations research, mathematical programming (90-XX)

### Citations contained in zbMATH Open

55 Publications have been cited 347 times in 212 Documents Cited by Year
A novel method for a fractional derivative with non-local and non-singular kernel. Zbl 1415.34007
Akgül, Ali
2018
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
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
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 solving KdV equation based on reproducing kernel Hilbert space method. Zbl 1266.65178
Inc, Mustafa; Akgül, Ali; Kiliçman, Adem
2013
Explicit solution of telegraph equation based on reproducing kernel method. Zbl 1259.35062
Inc, Mustafa; Akgül, Ali; Kiliçman, Adem
2012
New reproducing kernel functions. Zbl 1394.34187
Akgül, Ali
2015
Approximate solutions for MHD squeezing fluid flow by a novel method. Zbl 1299.76185
Inc, Mustafa; Akgül, Ali
2014
New perspective on the conventional solutions of the nonlinear time-fractional partial differential equations. Zbl 1456.35208
Ahmad, Hijaz; Akgül, Ali; Khan, Tufail A.; Stanimirović, Predrag S.; Chu, Yu-Ming
2020
Constructing two powerful methods to solve the Thomas-Fermi equation. Zbl 1372.47034
Akgül, A.; Hashemi, M. S.; Inc, M.; Raheem, S. A.
2017
A fractional Newton method with $$2 \alpha$$ th-order of convergence and its stability. Zbl 1468.65044
Akgül, Ali; Cordero, Alicia; Torregrosa, Juan R.
2019
New approach for the Fornberg-Whitham type equations. Zbl 1359.65225
Boutarfa, Bariza; Akgül, Ali; Inc, Mustafa
2017
Reproducing kernel functions for difference equations. Zbl 1348.46030
Akgül, Ali; Inc, Mustafa; Karatas, Esra
2015
Solitary wave solutions of time-space nonlinear fractional Schrödinger’s equation: two analytical approaches. Zbl 1392.35286
Hashemi, M. S.; Akgül, Ali
2018
Solutions of fractional gas dynamics equation by a new technique. Zbl 1461.76363
Akgül, Ali; Cordero, Alicia; Torregrosa, Juan Ramon
2020
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
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
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
Numerical solution of fractional Bratu type equations with Legendre reproducing kernel method. Zbl 1402.34010
Sakar, Mehmet Giyas; Saldır, Onur; Akgül, Ali
2018
On solutions of fractional-order gas dynamics equation by effective techniques. Zbl 07500982
Iqbal, Naveed; Akgül, Ali; Shah, Rasool; Bariq, Abdul; Al-Sawalha, M. Mossa; Ali, Akbar
2022
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
Reproducing kernel method for fractional derivative with non-local and non-singular kernel. Zbl 1446.34006
Akgül, Ali
2019
Existence of unique solutions to the telegraph equation in binary reproducing kernel Hilbert spaces. Zbl 1444.35109
Akgül, Ali; Grow, David
2020
Crank-Nicholson difference method and reproducing kernel function for third order fractional differential equations in the sense of Atangana-Baleanu Caputo derivative. Zbl 1448.65088
Akgül, Ali; Modanli, Mahmut
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
Solving delay differential equations by an accurate method with interpolation. Zbl 1470.65135
2015
On the solution of higher-order difference equations. Zbl 1391.39008
Akgül, Ali
2017
A novel simulation methodology of fractional order nuclear science model. Zbl 1391.65182
Akgül, Ali; Khan, Yasir
2017
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
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
Almost oscillatory three-dimensional dynamical systems of first order delay dynamic equations. Zbl 1310.34120
Akgül, A.; Akın, E.
2014
Analysis and dynamical behavior of fractional-order cancer model with vaccine strategy. Zbl 1454.35396
2020
Improved numerical solution of multi-asset option pricing problem: a localized RBF-FD approach. Zbl 1448.91311
Soleymani, Fazlollah; Akgül, Ali
2019
On a certain subclass of meromorphic functions defined by Hilbert space operator. Zbl 1413.30024
Akgul, A.; Bulut, S.
2016
Numerical solution of seventh-order boundary value problems by a novel method. Zbl 1474.65228
Inc, Mustafa; Akgül, Ali
2014
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 homotopy perturbation method with applications to nonlinear fractional order KdV and Burger equation with exponential-decay kernel. Zbl 1475.35380
Ahmad, Shabir; Ullah, Aman; Akgül, Ali; de la Sen, Manuel
2021
European option valuation under the Bates PIDE in finance: a numerical implementation of the Gaussian scheme. Zbl 1437.91456
Soleymani, Fazlollah; Akgül, Ali
2020
A greedy algorithm for partition of unity collocation method in pricing American options. Zbl 1427.91296
Fadaei, Yasin; Khan, Zareen A.; Akgül, Ali
2019
A novel method for solving nonlinear jerk equations. Zbl 07326304
Akgül, Ali; Akgül, Esra Karatas
2021
An analysis of a mathematical fractional model of hybrid viscous nanofluids and its application in heat and mass transfer. Zbl 1453.35144
2021
Modeling of fractional-order COVID-19 epidemic model with quarantine and social distancing. Zbl 1470.92298
2021
Modeling and simulation of fractional order COVID-19 model with quarantined-isolated people. Zbl 1471.92283
2021
On solutions of fractal fractional differential equations. Zbl 1481.34009
Atangana, Abdon; Akgül, Ali
2021
Second-order differential subordinations on a class of analytic functions defined by the Rafid operator. Zbl 1417.30007
Akgül, A.
2018
New numerical method for solving tenth order boundary value problems. Zbl 1406.35089
Akgül, Ali; Karatas Akgül, Esra; Baleanu, Dumitru; Inc, Mustafa
2018
On solutions to the second-order partial differential equations by two accurate methods. Zbl 1407.65121
Modanli, Mahmut; Akgül, Ali
2018
A new application of the Sumudu transform for the falling body problem. Zbl 1484.34025
Karatas Akgül, Esra; Akgül, Ali; Alqahtani, Rubayyi T.
2021
A fractal fractional model for cervical cancer due to human papillomavirus infection. Zbl 07465615
Akgül, A.; Ahmed, N.; Raza, A.; Iqbal, Z.; Rafiq, M.; Rehman, M. A.; Baleanu, D.
2021
Existence results for ABC-fractional differential equations with non-separated and integral type of boundary conditions. Zbl 07465616
Mehmood, Nayyar; Abbas, Ahsan; Abdeljawad, Thabet; Akgül, Ali
2021
Attribution of multi-slips and bioconvection for micropolar nanofluids transpiration through porous medium over an extending sheet with PST and PHF conditions. Zbl 07489858
Abdal, Sohaib; Habib, Usama; Siddique, Imran; Akgül, Ali; Ali, Bagh
2021
Epidemiological analysis of fractional order COVID-19 model with Mittag-Leffler kernel. Zbl 1485.92128
2022
On solutions of fractional-order gas dynamics equation by effective techniques. Zbl 07500982
Iqbal, Naveed; Akgül, Ali; Shah, Rasool; Bariq, Abdul; Al-Sawalha, M. Mossa; Ali, Akbar
2022
Epidemiological analysis of fractional order COVID-19 model with Mittag-Leffler kernel. Zbl 1485.92128
2022
A novel homotopy perturbation method with applications to nonlinear fractional order KdV and Burger equation with exponential-decay kernel. Zbl 1475.35380
Ahmad, Shabir; Ullah, Aman; Akgül, Ali; de la Sen, Manuel
2021
A novel method for solving nonlinear jerk equations. Zbl 07326304
Akgül, Ali; Akgül, Esra Karatas
2021
An analysis of a mathematical fractional model of hybrid viscous nanofluids and its application in heat and mass transfer. Zbl 1453.35144
2021
Modeling of fractional-order COVID-19 epidemic model with quarantine and social distancing. Zbl 1470.92298
2021
Modeling and simulation of fractional order COVID-19 model with quarantined-isolated people. Zbl 1471.92283
2021
On solutions of fractal fractional differential equations. Zbl 1481.34009
Atangana, Abdon; Akgül, Ali
2021
A new application of the Sumudu transform for the falling body problem. Zbl 1484.34025
Karatas Akgül, Esra; Akgül, Ali; Alqahtani, Rubayyi T.
2021
A fractal fractional model for cervical cancer due to human papillomavirus infection. Zbl 07465615
Akgül, A.; Ahmed, N.; Raza, A.; Iqbal, Z.; Rafiq, M.; Rehman, M. A.; Baleanu, D.
2021
Existence results for ABC-fractional differential equations with non-separated and integral type of boundary conditions. Zbl 07465616
Mehmood, Nayyar; Abbas, Ahsan; Abdeljawad, Thabet; Akgül, Ali
2021
Attribution of multi-slips and bioconvection for micropolar nanofluids transpiration through porous medium over an extending sheet with PST and PHF conditions. Zbl 07489858
Abdal, Sohaib; Habib, Usama; Siddique, Imran; Akgül, Ali; Ali, Bagh
2021
New perspective on the conventional solutions of the nonlinear time-fractional partial differential equations. Zbl 1456.35208
Ahmad, Hijaz; Akgül, Ali; Khan, Tufail A.; Stanimirović, Predrag S.; Chu, Yu-Ming
2020
Solutions of fractional gas dynamics equation by a new technique. Zbl 1461.76363
Akgül, Ali; Cordero, Alicia; Torregrosa, Juan Ramon
2020
Existence of unique solutions to the telegraph equation in binary reproducing kernel Hilbert spaces. Zbl 1444.35109
Akgül, Ali; Grow, David
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
Analysis and dynamical behavior of fractional-order cancer model with vaccine strategy. Zbl 1454.35396
2020
European option valuation under the Bates PIDE in finance: a numerical implementation of the Gaussian scheme. Zbl 1437.91456
Soleymani, Fazlollah; Akgül, Ali
2020
A fractional Newton method with $$2 \alpha$$ th-order of convergence and its stability. Zbl 1468.65044
Akgül, Ali; Cordero, Alicia; Torregrosa, Juan R.
2019
Reproducing kernel method for fractional derivative with non-local and non-singular kernel. Zbl 1446.34006
Akgül, Ali
2019
Crank-Nicholson difference method and reproducing kernel function for third order fractional differential equations in the sense of Atangana-Baleanu Caputo derivative. Zbl 1448.65088
Akgül, Ali; Modanli, Mahmut
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
Improved numerical solution of multi-asset option pricing problem: a localized RBF-FD approach. Zbl 1448.91311
Soleymani, Fazlollah; Akgül, Ali
2019
A greedy algorithm for partition of unity collocation method in pricing American options. Zbl 1427.91296
Fadaei, Yasin; Khan, Zareen A.; 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
New numerical method for solving tenth order boundary value problems. Zbl 1406.35089
Akgül, Ali; Karatas Akgül, Esra; Baleanu, Dumitru; Inc, Mustafa
2018
On solutions to the second-order partial differential equations by two accurate methods. Zbl 1407.65121
Modanli, Mahmut; Akgül, Ali
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
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
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
A novel simulation methodology of fractional order nuclear science model. Zbl 1391.65182
Akgül, Ali; Khan, Yasir
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 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
New reproducing kernel functions. Zbl 1394.34187
Akgül, Ali
2015
Reproducing kernel functions for difference equations. Zbl 1348.46030
Akgül, Ali; Inc, Mustafa; Karatas, Esra
2015
Solving delay differential equations by an accurate method with interpolation. Zbl 1470.65135
2015
Approximate solutions for MHD squeezing fluid flow by a novel method. Zbl 1299.76185
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
Numerical solution of seventh-order boundary value problems by a novel method. Zbl 1474.65228
Inc, Mustafa; Akgül, Ali
2014
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 solving KdV equation based on reproducing kernel Hilbert space method. Zbl 1266.65178
Inc, Mustafa; Akgül, Ali; Kiliçman, Adem
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
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 415 Authors

 22 Advances in Difference Equations 22 International Journal of Applied and Computational Mathematics 14 Chaos, Solitons and Fractals 13 Journal of Function Spaces 13 AIMS Mathematics 12 Fractals 9 Applied Numerical Mathematics 8 Abstract and Applied Analysis 7 Computational and Applied Mathematics 5 Applied Mathematics and Computation 4 Physica A 4 Complexity 4 Discrete and Continuous Dynamical Systems. Series S 3 Journal of Computational and Applied Mathematics 3 Mathematics and Computers in Simulation 3 Applied Mathematics Letters 3 Mathematical Problems in Engineering 3 Journal of Applied Mathematics 3 International Journal of Differential Equations 2 Mathematical Methods in the Applied Sciences 2 Journal of Geometry and Physics 2 Numerical Algorithms 2 International Journal of Computer Mathematics 2 Journal of Mathematical Chemistry 2 Nonlinear Dynamics 2 Journal of Inequalities and Applications 2 International Journal of Nonlinear Sciences and Numerical Simulation 2 Hacettepe Journal of Mathematics and Statistics 2 Boundary Value Problems 2 Advances in Mathematical Physics 2 Journal of Mathematics 2 Computational Methods for Differential Equations 1 Computers & Mathematics with Applications 1 Reports on Mathematical Physics 1 Ukrainian Mathematical Journal 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Calcolo 1 Information Sciences 1 Applied Mathematical Modelling 1 Applied Mathematics. Series B (English Edition) 1 Electronic Journal of Differential Equations (EJDE) 1 Filomat 1 Differential Equations and Dynamical Systems 1 Discrete Dynamics in Nature and Society 1 European Journal of Mechanics. B. Fluids 1 Mathematical Modelling and Analysis 1 Kragujevac Journal of Mathematics 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 Mathematical Biosciences and Engineering 1 European Journal of Pure and Applied Mathematics 1 Mathematical Modelling of Natural Phenomena 1 Communications in Theoretical Physics 1 Advances in Differential Equations and Control Processes 1 S$$\vec{\text{e}}$$MA Journal 1 Palestine Journal of Mathematics 1 Mathematics 1 Fixed Point Theory and Algorithms for Sciences and Engineering