## Allahviranloo, Tofigh

Compute Distance To:
 Author ID: allahviranloo.tofigh Published as: Allahviranloo, T.; Allahviranloo, Tofigh; Allah Viranloo, T.; Allanviranloo, T. more...less External Links: MGP · ORCID
 Documents Indexed: 206 Publications since 2002, including 5 Books 1 Contribution as Editor Co-Authors: 149 Co-Authors with 191 Joint Publications 2,584 Co-Co-Authors
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### Serials

 24 Soft Computing 15 Computational and Applied Mathematics 13 Applied Mathematics and Computation 9 Information Sciences 9 Iranian Journal of Fuzzy Systems 7 Fuzzy Sets and Systems 7 Mathematical & Computational Applications 7 Journal of Intelligent and Fuzzy Systems 6 Applied Mathematical Modelling 5 International Journal of Contemporary Mathematical Sciences 5 Applied Mathematical Sciences (Ruse) 5 Journal of Fuzzy Set Valued Analysis 4 Journal of Computational and Applied Mathematics 4 Applications and Applied Mathematics 4 Mathematical Sciences 3 Abstract and Applied Analysis 3 International Mathematical Forum 3 Journal of Mathematical Extension 2 Journal of Mathematical Analysis and Applications 2 Chaos, Solitons and Fractals 2 Computational Mathematics and Modeling 2 The Journal of Fuzzy Mathematics 2 Analele Științifice ale Universității “Ovidius” Constanța. Seria: Matematică 2 Nonlinear Studies 2 Mathematical Problems in Engineering 2 Journal of Inequalities and Applications 2 International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 2 Advances in Difference Equations 2 Studies in Fuzziness and Soft Computing 2 Applied and Computational Mathematics 2 Advances in Fuzzy Systems 2 ROMAI Journal 2 Journal of Applied Analysis and Computation 2 Mathematics 2 Studies in Systems, Decision and Control 2 AIMS Mathematics 1 Computers & Mathematics with Applications 1 Calcolo 1 Computing 1 Control and Cybernetics 1 Southeast Asian Bulletin of Mathematics 1 Applied Numerical Mathematics 1 International Journal of Computer Mathematics 1 Notes on Intuitionistic Fuzzy Sets 1 Far East Journal of Applied Mathematics 1 Communications in Nonlinear Science and Numerical Simulation 1 Mathematical Modelling and Analysis 1 International Mathematical Journal 1 Computational Methods in Applied Mathematics 1 Thai Journal of Mathematics 1 Fuzzy Optimization and Decision Making 1 Journal of Nonlinear Science and Applications 1 Advances in Mathematical Physics 1 International Journal of Differential Equations 1 Journal of Applied Mathematics & Informatics 1 An International Journal of Optimization and Control: Theories & Applications (IJOCTA) 1 Fuzzy Information and Engineering 1 Journal of Linear and Topological Algebra 1 Journal of Mathematical Modeling 1 Computational Methods for Differential Equations 1 Mathematical Engineering
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### Fields

 89 Numerical analysis (65-XX) 62 Ordinary differential equations (34-XX) 41 Real functions (26-XX) 27 Operations research, mathematical programming (90-XX) 26 Linear and multilinear algebra; matrix theory (15-XX) 26 Integral equations (45-XX) 20 Partial differential equations (35-XX) 16 Mathematical logic and foundations (03-XX) 13 General algebraic systems (08-XX) 9 Systems theory; control (93-XX) 6 Approximations and expansions (41-XX) 6 Statistics (62-XX) 4 Integral transforms, operational calculus (44-XX) 4 Computer science (68-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Functional analysis (46-XX) 3 Operator theory (47-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Probability theory and stochastic processes (60-XX) 3 Fluid mechanics (76-XX) 2 Combinatorics (05-XX) 2 Measure and integration (28-XX) 2 Difference and functional equations (39-XX) 2 Mechanics of deformable solids (74-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Biology and other natural sciences (92-XX) 1 Associative rings and algebras (16-XX) 1 Group theory and generalizations (20-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 General topology (54-XX) 1 Information and communication theory, circuits (94-XX)

### Citations contained in zbMATH Open

152 Publications have been cited 1,651 times in 749 Documents Cited by Year
Solving fuzzy fractional differential equations by fuzzy Laplace transforms. Zbl 1245.35146
Salahshour, S.; Allahviranloo, T.; Abbasbandy, S.
2012
Explicit solutions of fractional differential equations with uncertainty. Zbl 1259.34009
Allahviranloo, T.; Salahshour, S.; Abbasbandy, S.
2012
Numerical methods for fuzzy system of linear equations. Zbl 1067.65040
Allahviranloo, Tofigh
2004
Numerical solution of fuzzy differential equations by predictor-corrector method. Zbl 1183.65090
2007
Existence and uniqueness results for fractional differential equations with uncertainty. Zbl 1350.34011
Salahshour, S.; Allahviranloo, T.; Abbasbandy, S.; Baleanu, D.
2012
Successive over relaxation iterative method for fuzzy system of linear equations. Zbl 1062.65037
Allahviranloo, Tofigh
2005
Numerical methods for fuzzy differential inclusions. Zbl 1074.65072
Abbasbandy, S.; Allah Viranloo, T.; López-Pouso, Ó.; Nieto, J. J.
2004
Fuzzy fractional differential equations under generalized fuzzy Caputo derivative. Zbl 1305.34004
Allahviranloo, T.; Armand, A.; Gouyandeh, Z.
2014
The Adomian decomposition method for fuzzy system of linear equations. Zbl 1069.65025
Allahviranloo, Tofigh
2005
Fuzzy Laplace transforms. Zbl 1187.44001
2010
Solving a full fuzzy linear programming using lexicography method and fuzzy approximate solution. Zbl 1205.90313
2009
Numerical solution of fuzzy differential equation by Runge-Kutta method. Zbl 1056.65069
Abbasbandy, S.; Allah Viranloo, T.
2004
On fuzzy solutions for heat equation based on generalized Hukuhara differentiability. Zbl 1361.35204
Allahviranloo, Tofigh; Gouyandeh, Zienab; Armand, Atefeh; Hasanoglu, Alemdar
2015
Toward the existence and uniqueness of solutions of second-order fuzzy differential equations. Zbl 1171.34301
Allahviranloo, T.; Kiani, N. A.; Barkhordari, M.
2009
Solving fuzzy differential equations by differential transformation method. Zbl 1160.65322
Allahviranloo, T.; Kiani, N. A.; Motamedi, N.
2009
Solution of a fuzzy system of linear equation. Zbl 1095.65036
Allahviranloo, T.; Afshar Kermani, M.
2006
A new method for solving fuzzy linear differential equations. Zbl 1238.34005
Allahviranloo, T.; Abbasbandy, S.; Salahshour, S.; Hakimzadeh, A.
2011
The Adomian decomposition method applied to the fuzzy system of Fredholm integral equations of the second kind. Zbl 1090.65144
Abbasbandy, S.; Allahviranloo, T.
2006
Application of fuzzy differential transform method for solving fuzzy Volterra integral equations. Zbl 1351.45005
Salahshour, S.; Allahviranloo, T.
2013
Maximal- and minimal symmetric solutions of fully fuzzy linear systems. Zbl 1220.65033
Allahviranloo, T.; Salahshour, S.; Khezerloo, M.
2011
Applications of fuzzy Laplace transforms. Zbl 1264.44002
Salahshour, S.; Allahviranloo, T.
2013
A fuzzy solution of heat equation under generalized Hukuhara differentiability by fuzzy Fourier transform. Zbl 1386.35465
Gouyandeh, Zienab; Allahviranloo, Tofigh; Abbasbandy, Saeid; Armand, Atefeh
2017
Solving fully fuzzy linear programming problem by the ranking function. Zbl 1169.90488
Allahviranloo, T.; Hosseinzadeh Lotfi, F.; Kiasary, M. Kh.; Kiani, N. A.; Alizadeh, L.
2008
Fuzzy symmetric solutions of fuzzy linear systems. Zbl 1220.65032
Allahviranloo, T.; Salahshour, S.
2011
A note on “Fuzzy linear systems”. Zbl 1390.15005
Allahviranloo, T.; Ghanbari, M.; Hosseinzadeh, A. A.; Haghi, E.; Nuraei, R.
2011
$$N$$th-order fuzzy linear differential equations. Zbl 1134.65352
2008
Euler method for solving hybrid fuzzy differential equation. Zbl 1242.65127
Allahviranloo, T.; Salahshour, S.
2011
Note on “Trapezoidal approximation of fuzzy numbers”. Zbl 1119.03340
2007
Existence and uniqueness of solutions of fuzzy Volterra integro-differential equations. Zbl 1201.45008
Hajighasemi, S.; Allahviranloo, T.; Khezerloo, M.; Khorasany, M.; Salahshour, S.
2010
On the algebraic solution of fuzzy linear systems based on interval theory. Zbl 1254.15032
Allahviranloo, Tofigh; Ghanbari, Mojtaba
2012
Improved predictor-corrector method for solving fuzzy initial value problems. Zbl 1165.65042
2009
A full fuzzy method for solving differential equation based on Taylor expansion. Zbl 1366.34003
Allahviranloo, T.; Gouyandeh, Z.; Armand, A.
2015
A comment on fuzzy linear systems. Zbl 1050.15003
Allahviranloo, Tofigh
2003
An analytic approximation to the solution of fuzzy heat equation by Adomian: decomposition method. Zbl 1181.35314
Allahviranloo, T.; Taheri, N.
2009
Block Jacobi two-stage method with Gauss-Seidel inner iterations for fuzzy system of linear equations. Zbl 1093.65032
2006
Solving system of second-order BVPs using a new algorithm based on reproducing kernel Hilbert space. Zbl 1445.65029
Sahihi, Hussein; Allahviranloo, Tofigh; Abbasbandy, Saeid
2020
Numerical solution of fuzzy differential equation. Zbl 1013.65070
Abbasbandy, S.; Allah Viranloo, T.
2002
Numerical methods for fuzzy linear partial differential equations under new definition for derivative. Zbl 1262.65142
Allahviranloo, T.; Kermani, M. Afshar
2010
Ranking of fuzzy numbers based on alpha-distance. Zbl 1254.91105
Khezerloo, Saeid; Allahviranloo, Tofigh; Khezerloo, Masoume
2011
A new approach to obtain algebraic solution of interval linear systems. Zbl 1264.65034
Allahviranloo, T.; Ghanbari, M.
2012
A new approach for solving first order fuzzy differential equation. Zbl 1206.34008
Allahviranloo, Tofigh; Salahshour, Soheil
2010
Difference methods for fuzzy partial differential equations. Zbl 1011.65077
Allah Viranloo, T.
2002
Solving nonlinear fuzzy differential equations by using fuzzy variational iteration method. Zbl 1337.34007
Allahviranloo, T.; Abbasbandy, S.; Behzadi, Sh. S.
2014
$$q$$-fractional differential equations with uncertainty. Zbl 1430.34009
Noeiaghdam, Z.; Allahviranloo, T.; Nieto, Juan J.
2019
A new method for solving an arbitrary fully fuzzy linear system. Zbl 1331.15004
Moloudzadeh, S.; Allahviranloo, T.; Darabi, P.
2013
An efficient approach based on radial basis functions for solving stochastic fractional differential equations. Zbl 1382.65015
Ahmadi, N.; Vahidi, A. R.; Allahviranloo, T.
2017
The use of fuzzy expansion method for solving fuzzy linear Volterra-Fredholm integral equations. Zbl 1305.65241
Behzadi, Sh. S.; Allahviranloo, T.; Abbasbandy, S.
2014
General solutions of fully fuzzy linear systems. Zbl 1272.93061
Allahviranloo, T.; Salahshour, S.; Homayoun-Nejad, M.; Baleanu, D.
2013
Iterative method for fuzzy equations. Zbl 1145.65032
Allahviranloo, T.; Otadi, M.; Mosleh, M.
2008
Reproducing kernel method for solving singularly perturbed differential-difference equations with boundary layer behavior in Hilbert space. Zbl 1376.34064
Sahihi, Hussein; Abbasbandy, Saeid; Allahviranloo, Tofigh
2018
Fuzzy fractional differential operators and equations. Fuzzy fractional differential equations. Zbl 1482.34001
Allahviranloo, Tofigh
2021
On the fuzzy solution of $$LR$$ fuzzy linear systems. Zbl 1351.90173
Allahviranloo, T.; Hosseinzadeh Lotfi, F.; Khorasani Kiasari, M.; Khezerloo, M.
2013
Ranking of fuzzy numbers by a new metric. Zbl 1441.62040
2010
A comparative study of ranking fuzzy numbers based on regular weighted function. Zbl 1256.93060
Saneifard, R.; Allahviranloo, T.
2012
Fuzzy linear matrix equation. Zbl 1177.15016
Allahviranloo, T.; Mikaeilvand, N.; Barkhordary, M.
2009
Numerical solution of fuzzy integral equations. Zbl 1148.65098
Jahantigh, M.; Allanviranloo, T.; Otadi, M.
2008
Numerical solution of time-fractional order telegraph equation by Bernstein polynomials operational matrices. Zbl 1400.65052
Asgari, M.; Ezzati, R.; Allahviranloo, T.
2016
Bipolar fuzzy linear system of equations. Zbl 1438.15066
2019
Solving fuzzy differential equations based on the length function properties. Zbl 1356.34003
Allahviranloo, T.; Chehlabi, M.
2015
Application of homotopy analysis method for solving a class of nonlinear Volterra-Fredholm integro-differential equations. Zbl 1304.34110
2012
Note on “Generalized Hukuhara differentiability of interval-valued functions and interval differential equations”. Zbl 1356.28001
Allahviranloo, T.; Gholami, S.
2012
Existence and uniqueness of solutions for fuzzy fractional Volterra-Fredholm integro-differential equations. Zbl 1356.45007
Allahviranloo, T.; Armand, A.; Gouyandeh, Z.; Ghadiri, H.
2013
Gaussian quadratures for approximate of fuzzy integrals. Zbl 1083.65028
2005
A new approach to determine the convergence-control parameter in the application of the homotopy analysis method to systems of linear equations. Zbl 1291.65098
Ghanbari, M.; Abbasbandy, S.; Allahviranloo, T.
2013
A note on “Fuzzy differential equations and the extension principle”. Zbl 1177.34014
Allahviranloo, T.; Shafiee, M.; Nejatbakhsh, Y.
2009
Signed decomposition of fully fuzzy linear systems. Zbl 1177.65046
Allahviranloo, Tofigh; Mikaeilvand, Nasser; Kiani, Narsis Aftab; Shabestari, Rasol Mastani
2008
Application of Gaussian quadratures in solving fuzzy Fredholm integral equations. Zbl 1200.65111
Khezerloo, M.; Allahviranloo, T.; Salahshour, S.; Kiasari, M. Khorasani; Ghasemi, S. Haji
2010
A new effective solution method for fully intuitionistic fuzzy transportation problem. Zbl 1418.90036
2019
Some fundamental results on fuzzy calculus. Zbl 1417.26008
Armand, Atefeh; Allahviranloo, Tofigh; Gouyandeh, Zienab
2018
Non zero solutions of the fully fuzzy linear systems. Zbl 1220.65034
Allahviranloo, Tofigh; Mikaeilvand, Nasser
2011
Computational method based on reproducing kernel for solving singularly perturbed differential-difference equations with a delay. Zbl 1429.65166
Sahihi, Hussein; Abbasbandy, Saeid; Allahviranloo, Tofigh
2019
A new approach to $$n$$th order fuzzy differential equations. Zbl 1365.34007
Tapaswini, S.; Chakraverty, S.; Allahviranloo, T.
2017
Newton Cotes methods for integration of fuzzy functions. Zbl 1078.65017
Allahviranloo, Tofigh
2005
Existence and uniqueness of fuzzy solutions for linear Volterra fuzzy integral equations, proved by Adomian decomposition method. Zbl 1265.45002
Rouhparvar, Hamid; Allahviranloo, Tofigh; Abbasbandy, Saeid
2009
The nearest symmetric fuzzy solution for a symmetric fuzzy linear system. Zbl 1274.15045
Allahviranloo, T.; Haghi, E.; Ghanbari, M.
2012
A new metric for $$L$$-$$R$$ fuzzy numbers and its application in fuzzy linear systems. Zbl 1277.15002
Allahviranloo, T.; Nuraei, R.; Ghanbari, M.; Haghi, E.; Hosseinzadeh, A. A.
2012
Solving fuzzy Volterra integrodifferential equations of fractional order by Bernoulli wavelet method. Zbl 1397.65319
Shabestari, R. Mastani; Ezzati, R.; Allahviranloo, T.
2018
On the fuzzy Poisson equation. Zbl 1397.35341
2018
On the new solutions for a fully fuzzy linear system. Zbl 1329.65085
Allahviranloo, T.; Hosseinzadeh, A. A.; Ghanbari, M.; Haghi, E.; Nuraei, R.
2014
Radio fuzzy graphs and assignment of frequency in radio stations. Zbl 1438.05232
Mahapatra, Rupkumar; Samanta, Sovan; Allahviranloo, Tofigh; Pal, Madhumangal
2019
The fuzzy generalized Taylor’s expansion with application in fractional differential equations. Zbl 1429.26044
Armand, Atefeh; Allahviranloo, Tofigh; Abbasbandy, Saeid; Gouyandeh, Zeinab
2019
Numerical solutions for fractional differential equations by tau-collocation method. Zbl 1410.65278
Allahviranloo, T.; Gouyandeh, Z.; Armand, A.
2015
A modified Euler method for solving fuzzy differential equations under generalized differentiability. Zbl 1449.34004
2020
Solving fuzzy Volterra integro-differential equation by fuzzy differential transform method. Zbl 1254.65133
Mikaeilvand Nasser; Khakrangin, Sakineh; Allahviranloo, Tofigh
2011
Existence and uniqueness of the solution of nonlinear fuzzy Volterra integral equations. Zbl 1342.45006
Allahviranloo, T.; Salehi, P.; Nejatiyan, M.
2015
A method for solving $$n$$th order fuzzy linear differential equations. Zbl 1196.34004
2009
Fuzzy linear regression models with fuzzy entropy. Zbl 1120.62051
Pasha, E.; Razzaghnia, T.; Allahviranloo, T.; Yari, Gh.; Mostafaei, H. R.
2007
Gaussian quadratures for approximate of fuzzy multiple integrals. Zbl 1093.65020
2006
Numerical solution of nonlinear Volterra-Fredholm-Hammerstein integral equations via tau-collocation method with convergence analysis. Zbl 1346.65075
Gouyandeh, Z.; Allahviranloo, T.; Armand, A.
2016
A new attitude coupled with fuzzy thinking to fuzzy rings and fields. Zbl 1354.16048
Abbasi, F.; Allahviranloo, T.; Abbasbandy, S.
2015
Numerical solution of $$n$$-order fuzzy differential equations by Runge-Kutta method. Zbl 1225.65074
Abbasbandy, S.; Allahviranloo, T.; Darabi, P.
2011
Finding an inner estimation of the solution set of a fuzzy linear system. Zbl 1426.65039
Nuraei, R.; Allahviranloo, T.; Ghanbari, M.
2013
Certain methods to solve bipolar fuzzy linear system of equations. Zbl 1463.15005
2020
$$Z$$-advanced numbers processes. Zbl 1458.60009
2019
On the fuzzy fractional differential equation with interval Atangana-Baleanu fractional derivative approach. Zbl 1489.34008
2020
A new fractional dynamic cobweb model based on nonsingular kernel derivatives. Zbl 07514609
Salahshour, Soheil; Ahmadian, Ali; Allahviranloo, Tofigh
2021
Romberg integration for fuzzy functions. Zbl 1082.65517
Allahviranloo, Tofigh
2005
Degeneracy in fuzzy linear programming and its application. Zbl 1250.90117
2011
A new application of homotopy analysis method. Zbl 1262.65197
Ghanbari, Mojtaba; Allahviranloo, Tofigh
2012
Estimation of algebraic solution by limiting the solution set of an interval linear system. Zbl 1281.65052
Ghanbari, M.; Allahviranloo, T.; Haghi, E.
2012
Fuzzy fractional differential operators and equations. Fuzzy fractional differential equations. Zbl 1482.34001
Allahviranloo, Tofigh
2021
A new fractional dynamic cobweb model based on nonsingular kernel derivatives. Zbl 07514609
Salahshour, Soheil; Ahmadian, Ali; Allahviranloo, Tofigh
2021
Fully Pythagorean fuzzy linear programming problems with equality constraints. Zbl 1476.90185
Akram, Muhammad; Ullah, Inayat; Allahviranloo, Tofigh; Edalatpanah, S. A.
2021
Reproducing kernel method to solve fractional delay differential equations. Zbl 07423529
Allahviranloo, Tofigh; Sahihi, Hussein
2021
A Runge-Kutta numerical method to approximate the solution of bipolar fuzzy initial value problems. Zbl 1476.65138
2021
Solving system of second-order BVPs using a new algorithm based on reproducing kernel Hilbert space. Zbl 1445.65029
Sahihi, Hussein; Allahviranloo, Tofigh; Abbasbandy, Saeid
2020
A modified Euler method for solving fuzzy differential equations under generalized differentiability. Zbl 1449.34004
2020
Certain methods to solve bipolar fuzzy linear system of equations. Zbl 1463.15005
2020
On the fuzzy fractional differential equation with interval Atangana-Baleanu fractional derivative approach. Zbl 1489.34008
2020
Uncertain information and linear systems. Zbl 1431.93002
Allahviranloo, Tofigh
2020
Combining fractional differential transform method and reproducing kernel Hilbert space method to solve fuzzy impulsive fractional differential equations. Zbl 1449.34006
Najafi, Nematallah; Allahviranloo, Tofigh
2020
The traveling wave solution of the fuzzy linear partial differential equation. Zbl 1439.35552
Shahasavari, Zahra; Allahviranloo, Tofigh; Abbasbandy, Saeid; Rostamy-Malkhalifeh, Mohsen
2020
$$q$$-fractional differential equations with uncertainty. Zbl 1430.34009
Noeiaghdam, Z.; Allahviranloo, T.; Nieto, Juan J.
2019
Bipolar fuzzy linear system of equations. Zbl 1438.15066
2019
A new effective solution method for fully intuitionistic fuzzy transportation problem. Zbl 1418.90036
2019
Computational method based on reproducing kernel for solving singularly perturbed differential-difference equations with a delay. Zbl 1429.65166
Sahihi, Hussein; Abbasbandy, Saeid; Allahviranloo, Tofigh
2019
Radio fuzzy graphs and assignment of frequency in radio stations. Zbl 1438.05232
Mahapatra, Rupkumar; Samanta, Sovan; Allahviranloo, Tofigh; Pal, Madhumangal
2019
The fuzzy generalized Taylor’s expansion with application in fractional differential equations. Zbl 1429.26044
Armand, Atefeh; Allahviranloo, Tofigh; Abbasbandy, Saeid; Gouyandeh, Zeinab
2019
$$Z$$-advanced numbers processes. Zbl 1458.60009
2019
A new efficient method using Fibonacci polynomials for solving of first-order fuzzy Fredholm-Volterra integro-differential equations. Zbl 1431.65246
Seifi, A.; Lotfi, T.; Allahviranloo, T.
2019
A new class of conjugate gradient methods for unconstrained smooth optimization and absolute value equations. Zbl 1407.90311
Rahpeymaii, Farzad; Amini, Keyvan; Allahviranloo, Tofigh; Malkhalifeh, Mohsen Rostamy
2019
Fuzzy reproducing kernel space method for solving fuzzy boundary value problems. Zbl 1452.34005
Gholami, N.; Allahviranloo, T.; Abbasbandy, S.; Karamikabir, N.
2019
Fuzzy multiquadric radial basis functions for solving fuzzy partial differential equations. Zbl 1438.65208
Dirbaz, M.; Allahviranloo, T.
2019
Reproducing kernel method for solving singularly perturbed differential-difference equations with boundary layer behavior in Hilbert space. Zbl 1376.34064
Sahihi, Hussein; Abbasbandy, Saeid; Allahviranloo, Tofigh
2018
Some fundamental results on fuzzy calculus. Zbl 1417.26008
Armand, Atefeh; Allahviranloo, Tofigh; Gouyandeh, Zienab
2018
Solving fuzzy Volterra integrodifferential equations of fractional order by Bernoulli wavelet method. Zbl 1397.65319
Shabestari, R. Mastani; Ezzati, R.; Allahviranloo, T.
2018
On the fuzzy Poisson equation. Zbl 1397.35341
2018
A study on the local convergence and dynamics of the two-step and derivative-free Kung-Traub’s method. Zbl 1451.65069
Veiseh, Hana; Lotfi, Taher; Allahviranloo, Tofigh
2018
A new attitude coupled with fuzzy thinking for solving fuzzy equations. Zbl 1398.03163
Allahviranloo, T.; Perfilieva, I.; Abbasi, F.
2018
On general conditions for nestedness of the solution set of fuzzy-interval linear systems. Zbl 1387.15034
Veiseh, Hana; Lotfi, Taher; Allahviranloo, Tofigh
2018
A fuzzy solution of heat equation under generalized Hukuhara differentiability by fuzzy Fourier transform. Zbl 1386.35465
Gouyandeh, Zienab; Allahviranloo, Tofigh; Abbasbandy, Saeid; Armand, Atefeh
2017
An efficient approach based on radial basis functions for solving stochastic fractional differential equations. Zbl 1382.65015
Ahmadi, N.; Vahidi, A. R.; Allahviranloo, T.
2017
A new approach to $$n$$th order fuzzy differential equations. Zbl 1365.34007
Tapaswini, S.; Chakraverty, S.; Allahviranloo, T.
2017
Numerical solution of nonlinear two-dimensional Volterra integral equation of the second kind in the reproducing kernel space. Zbl 1453.65451
Fazli, A.; Allahviranloo, T.; Javadi, Sh.
2017
A new variational iteration method for a class of fractional convection-diffusion equations in large domains. Zbl 1457.65156
Abolhasani, Mohammad; Abbasbandy, Saeid; Allahviranloo, Tofigh
2017
On the solution of fuzzy fractional optimal control problems with the Caputo derivative. Zbl 1443.49027
2017
Algebraic solution of fuzzy linear system as: $$\widetilde{A}\widetilde{X}+\widetilde{B}\widetilde{X}=\widetilde{Y}$$. Zbl 1453.65094
Allahviranloo, T.; Babakordi, F.
2017
An effective collocation technique to solve the singular Fredholm integral equations with Cauchy kernel. Zbl 1422.65458
Seifi, Ali; Lotfi, Taher; Allahviranloo, Tofigh; Paripour, Mahmoud
2017
Numerical solution of time-fractional order telegraph equation by Bernstein polynomials operational matrices. Zbl 1400.65052
Asgari, M.; Ezzati, R.; Allahviranloo, T.
2016
Numerical solution of nonlinear Volterra-Fredholm-Hammerstein integral equations via tau-collocation method with convergence analysis. Zbl 1346.65075
Gouyandeh, Z.; Allahviranloo, T.; Armand, A.
2016
A new method for defuzzification and ranking of fuzzy numbers based on the statistical beta distribution. Zbl 1397.68187
Rahmani, A.; Hosseinzadeh Lotfi, F.; Rostamy-Malkhalifeh, M.; Allahviranloo, T.
2016
Solving fuzzy differential equations by using Picard method. Zbl 1357.34003
2016
An efficient method for solving LR fuzzy dual matrix systems. Zbl 1375.65044
Babakordi, F.; Allahviranloo, T.; Adabitabar Firozja, M.
2016
General solution of Basset equation with Caputo generalized Hukuhara derivative. Zbl 1463.34007
Armand, A.; Allahviranloo, T.; Gouyandeh, Z.
2016
On fuzzy solutions for heat equation based on generalized Hukuhara differentiability. Zbl 1361.35204
Allahviranloo, Tofigh; Gouyandeh, Zienab; Armand, Atefeh; Hasanoglu, Alemdar
2015
A full fuzzy method for solving differential equation based on Taylor expansion. Zbl 1366.34003
Allahviranloo, T.; Gouyandeh, Z.; Armand, A.
2015
Solving fuzzy differential equations based on the length function properties. Zbl 1356.34003
Allahviranloo, T.; Chehlabi, M.
2015
Numerical solutions for fractional differential equations by tau-collocation method. Zbl 1410.65278
Allahviranloo, T.; Gouyandeh, Z.; Armand, A.
2015
Existence and uniqueness of the solution of nonlinear fuzzy Volterra integral equations. Zbl 1342.45006
Allahviranloo, T.; Salehi, P.; Nejatiyan, M.
2015
A new attitude coupled with fuzzy thinking to fuzzy rings and fields. Zbl 1354.16048
Abbasi, F.; Allahviranloo, T.; Abbasbandy, S.
2015
Fuzzy fractional differential equations under generalized fuzzy Caputo derivative. Zbl 1305.34004
Allahviranloo, T.; Armand, A.; Gouyandeh, Z.
2014
Solving nonlinear fuzzy differential equations by using fuzzy variational iteration method. Zbl 1337.34007
Allahviranloo, T.; Abbasbandy, S.; Behzadi, Sh. S.
2014
The use of fuzzy expansion method for solving fuzzy linear Volterra-Fredholm integral equations. Zbl 1305.65241
Behzadi, Sh. S.; Allahviranloo, T.; Abbasbandy, S.
2014
On the new solutions for a fully fuzzy linear system. Zbl 1329.65085
Allahviranloo, T.; Hosseinzadeh, A. A.; Ghanbari, M.; Haghi, E.; Nuraei, R.
2014
The use of airfoil and Chebyshev polynomials methods for solving fuzzy Fredholm integro-differential equations with Cauchy kernel. Zbl 1327.45006
2014
Fuzzy collocation methods for second-order fuzzy Abel-Volterra integro-differential equations. Zbl 1339.65246
Behzadi, S. S.; Allahviranloo, T.; Abbasbandy, S.
2014
Solution of the first order fuzzy differential equations with generalized differentiability. Zbl 1409.34003
Jamshidi, L.; Allahviranloo, T.
2014
An application of a semi-analytical method on linear fuzzy Volterra integral equations. Zbl 1356.65248
Allahviranloo, Tofigh; Ghanbari, Mojtaba; Nuraei, Rahele
2014
Application of fuzzy differential transform method for solving fuzzy Volterra integral equations. Zbl 1351.45005
Salahshour, S.; Allahviranloo, T.
2013
Applications of fuzzy Laplace transforms. Zbl 1264.44002
Salahshour, S.; Allahviranloo, T.
2013
A new method for solving an arbitrary fully fuzzy linear system. Zbl 1331.15004
Moloudzadeh, S.; Allahviranloo, T.; Darabi, P.
2013
General solutions of fully fuzzy linear systems. Zbl 1272.93061
Allahviranloo, T.; Salahshour, S.; Homayoun-Nejad, M.; Baleanu, D.
2013
On the fuzzy solution of $$LR$$ fuzzy linear systems. Zbl 1351.90173
Allahviranloo, T.; Hosseinzadeh Lotfi, F.; Khorasani Kiasari, M.; Khezerloo, M.
2013
Existence and uniqueness of solutions for fuzzy fractional Volterra-Fredholm integro-differential equations. Zbl 1356.45007
Allahviranloo, T.; Armand, A.; Gouyandeh, Z.; Ghadiri, H.
2013
A new approach to determine the convergence-control parameter in the application of the homotopy analysis method to systems of linear equations. Zbl 1291.65098
Ghanbari, M.; Abbasbandy, S.; Allahviranloo, T.
2013
Finding an inner estimation of the solution set of a fuzzy linear system. Zbl 1426.65039
Nuraei, R.; Allahviranloo, T.; Ghanbari, M.
2013
On solutions of linear fractional differential equations with uncertainty. Zbl 1296.34007
Allahviranloo, T.; Abbasbandy, S.; Shahryari, M. R. Balooch; Salahshour, S.; Baleanu, D.
2013
Retracted: Fuzzy fractional Ostrowski inequality with Caputo differentiability. Zbl 1282.26044
2013
A new distance measure and ranking method for generalized trapezoidal fuzzy numbers. Zbl 1299.03057
Allahviranloo, T.; Jahantigh, M. A.; Hajighasemi, S.
2013
Solving fuzzy fractional differential equations by fuzzy Laplace transforms. Zbl 1245.35146
Salahshour, S.; Allahviranloo, T.; Abbasbandy, S.
2012
Explicit solutions of fractional differential equations with uncertainty. Zbl 1259.34009
Allahviranloo, T.; Salahshour, S.; Abbasbandy, S.
2012
Existence and uniqueness results for fractional differential equations with uncertainty. Zbl 1350.34011
Salahshour, S.; Allahviranloo, T.; Abbasbandy, S.; Baleanu, D.
2012
On the algebraic solution of fuzzy linear systems based on interval theory. Zbl 1254.15032
Allahviranloo, Tofigh; Ghanbari, Mojtaba
2012
A new approach to obtain algebraic solution of interval linear systems. Zbl 1264.65034
Allahviranloo, T.; Ghanbari, M.
2012
A comparative study of ranking fuzzy numbers based on regular weighted function. Zbl 1256.93060
Saneifard, R.; Allahviranloo, T.
2012
Application of homotopy analysis method for solving a class of nonlinear Volterra-Fredholm integro-differential equations. Zbl 1304.34110
2012
Note on “Generalized Hukuhara differentiability of interval-valued functions and interval differential equations”. Zbl 1356.28001
Allahviranloo, T.; Gholami, S.
2012
The nearest symmetric fuzzy solution for a symmetric fuzzy linear system. Zbl 1274.15045
Allahviranloo, T.; Haghi, E.; Ghanbari, M.
2012
A new metric for $$L$$-$$R$$ fuzzy numbers and its application in fuzzy linear systems. Zbl 1277.15002
Allahviranloo, T.; Nuraei, R.; Ghanbari, M.; Haghi, E.; Hosseinzadeh, A. A.
2012
A new application of homotopy analysis method. Zbl 1262.65197
Ghanbari, Mojtaba; Allahviranloo, Tofigh
2012
Estimation of algebraic solution by limiting the solution set of an interval linear system. Zbl 1281.65052
Ghanbari, M.; Allahviranloo, T.; Haghi, E.
2012
On the fractional Ostrowski inequality with uncertainty. Zbl 1247.26046
Allahviranloo, T.; Salahshour, S.; Avazpour, L.
2012
Efficiency in fuzzy production possibility set. Zbl 1260.90107
2012
A new method for solving fuzzy linear differential equations. Zbl 1238.34005
Allahviranloo, T.; Abbasbandy, S.; Salahshour, S.; Hakimzadeh, A.
2011
Maximal- and minimal symmetric solutions of fully fuzzy linear systems. Zbl 1220.65033
Allahviranloo, T.; Salahshour, S.; Khezerloo, M.
2011
Fuzzy symmetric solutions of fuzzy linear systems. Zbl 1220.65032
Allahviranloo, T.; Salahshour, S.
2011
A note on “Fuzzy linear systems”. Zbl 1390.15005
Allahviranloo, T.; Ghanbari, M.; Hosseinzadeh, A. A.; Haghi, E.; Nuraei, R.
2011
Euler method for solving hybrid fuzzy differential equation. Zbl 1242.65127
Allahviranloo, T.; Salahshour, S.
2011
Ranking of fuzzy numbers based on alpha-distance. Zbl 1254.91105
Khezerloo, Saeid; Allahviranloo, Tofigh; Khezerloo, Masoume
2011
Non zero solutions of the fully fuzzy linear systems. Zbl 1220.65034
Allahviranloo, Tofigh; Mikaeilvand, Nasser
2011
Solving fuzzy Volterra integro-differential equation by fuzzy differential transform method. Zbl 1254.65133
Mikaeilvand Nasser; Khakrangin, Sakineh; Allahviranloo, Tofigh
2011
Numerical solution of $$n$$-order fuzzy differential equations by Runge-Kutta method. Zbl 1225.65074
Abbasbandy, S.; Allahviranloo, T.; Darabi, P.
2011
Degeneracy in fuzzy linear programming and its application. Zbl 1250.90117
2011
Fuzzy fractional differential equations with Nagumo and Krasnoselskii-Krein condition. Zbl 1254.34004
Allahviranloo, Tofigh; Abbasbandy, Saeid; Salahshour, Soheil
2011
An approximation approach for ranking fuzzy numbers based on weighted interval-value. Zbl 1238.90074
Allahviranloo, T.; Abbasbandy, S.; Saneifard, R.
2011
Ranking fuzzy numbers using fuzzy maximizing-minimizing points. Zbl 1254.90087
Salahshour, S.; Abbasbandy, S.; Allahviranloo, T.
2011
Variational iteration method for solving $$n$$-th order fuzzy differential equations. Zbl 1225.65069
Abbasbandy, S.; Allahviranloo, T.; Darabi, P.; Sedaghatfar, O.
2011
Fuzzy Laplace transforms. Zbl 1187.44001
2010
Existence and uniqueness of solutions of fuzzy Volterra integro-differential equations. Zbl 1201.45008
Hajighasemi, S.; Allahviranloo, T.; Khezerloo, M.; Khorasany, M.; Salahshour, S.
2010
Numerical methods for fuzzy linear partial differential equations under new definition for derivative. Zbl 1262.65142
Allahviranloo, T.; Kermani, M. Afshar
2010
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 68 Fuzzy Sets and Systems 66 Soft Computing 38 Computational and Applied Mathematics 37 Information Sciences 31 Advances in Difference Equations 30 Applied Mathematics and Computation 30 Journal of Intelligent and Fuzzy Systems 21 Applied Mathematical Modelling 18 Journal of Function Spaces 17 Mathematical Problems in Engineering 15 Journal of Computational and Applied Mathematics 14 Chaos, Solitons and Fractals 14 Iranian Journal of Fuzzy Systems 13 International Journal of Applied and Computational Mathematics 12 Advances in Fuzzy Systems 12 Mathematical Sciences 11 Abstract and Applied Analysis 10 Computational Mathematics and Modeling 10 Fuzzy Information and Engineering 9 International Journal of Computer Mathematics 8 Applied Numerical Mathematics 8 AIMS Mathematics 7 Journal of Applied Mathematics 7 Journal of Mathematical Extension 6 Filomat 6 Complexity 6 Communications in Nonlinear Science and Numerical Simulation 6 International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 6 Advances in Mathematical Physics 6 International Journal of Differential Equations 6 S$$\vec{\text{e}}$$MA Journal 6 Journal of Linear and Topological Algebra 4 International Journal of Approximate Reasoning 4 Fractals 4 Journal of Applied Mathematics and Computing 4 Hacettepe Journal of Mathematics and Statistics 4 Applications and Applied Mathematics 4 Journal of Nonlinear Science and Applications 4 Symmetry 4 Journal of Applied Nonlinear Dynamics 4 Computational Methods for Differential Equations 3 Computers & Mathematics with Applications 3 Journal of the Franklin Institute 3 Applied Mathematics Letters 3 Mathematical and Computer Modelling 3 European Journal of Operational Research 3 Fractional Calculus & Applied Analysis 3 International Journal of Nonlinear Sciences and Numerical Simulation 3 Fuzzy Optimization and Decision Making 3 Journal of Fixed Point Theory and Applications 3 Tbilisi Mathematical Journal 3 Arabian Journal for Science and Engineering 2 Physica A 2 Acta Mathematica Vietnamica 2 International Journal of Mathematics and Mathematical Sciences 2 Mathematics and Computers in Simulation 2 Opsearch 2 Facta Universitatis. Series Mathematics and Informatics 2 YUJOR. Yugoslav Journal of Operations Research 2 Vietnam Journal of Mathematics 2 Journal of Inequalities and Applications 2 Discrete Dynamics in Nature and Society 2 Mathematical & Computational Applications 2 Optimization and Engineering 2 RAIRO. Operations Research 2 Mathematical Modelling and Analysis 2 Discrete and Continuous Dynamical Systems. Series B 2 Thai Journal of Mathematics 2 Fixed Point Theory and Applications 2 Nonlinear Analysis. Hybrid Systems 2 Journal of Mathematics and Computer Science. JMCS 2 Croatian Operational Research Review (CRORR) 2 Journal of Mathematics 2 Journal of Applied Mathematics, Statistics and Informatics 2 International Journal of Systems Science. Principles and Applications of Systems and Integration 1 Journal of Computational Physics 1 Ukrainian Mathematical Journal 1 Calcolo 1 Computing 1 The Journal of the Indian Mathematical Society. New Series 1 Journal of Optimization Theory and Applications 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 1 Acta Applicandae Mathematicae 1 Annals of Operations Research 1 Neural Computation 1 Journal of Global Optimization 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Advances in Engineering Software 1 Russian Mathematics 1 The Journal of Analysis 1 Applied Mathematics. Series B (English Edition) 1 Applied and Computational Harmonic Analysis 1 Advances in Applied Clifford Algebras 1 Advances in Computational Mathematics 1 Engineering Analysis with Boundary Elements 1 International Journal of Computational Fluid Dynamics 1 Nonlinear Dynamics 1 Novi Sad Journal of Mathematics 1 Chaos ...and 33 more Serials