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Research article

• On $\mathcal{L}$-simulation mappings in partial metric spaces

  Hassen Aydi, M. A. Barakat, Erdal Karapinar, Zoran D. Mitrović, Tawseef Rashid

  2019, 4(4): 1034-1045. doi: 10.3934/math.2019.4.1034

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• Multi-dimensional Legendre wavelets approach on the Black-Scholes and Heston Cox Ingersoll Ross equations

  Jafar Biazar, Fereshteh Goldoust

  2019, 4(4): 1046-1064. doi: 10.3934/math.2019.4.1046

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• A dynamical systems approach to cryptocurrency stability

  Carey Caginalp

  2019, 4(4): 1065-1077. doi: 10.3934/math.2019.4.1065

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• Fuzzy gradient descent for the linear fuzzy real number system

  Frank Rogers

  2019, 4(4): 1078-1086. doi: 10.3934/math.2019.4.1078

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• Simpson’s type integral inequalities for ĸ-fractional integrals and their applications

  Saima Rashid, Ahmet Ocak Akdemir, Fahd Jarad, Muhammad Aslam Noor, Khalida Inayat Noor

  2019, 4(4): 1087-1100. doi: 10.3934/math.2019.4.1087

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• Positive solutions for nonlinear Hadamard fractional differential equations with integral boundary conditions

  Abdelouaheb Ardjouni

  2019, 4(4): 1101-1113. doi: 10.3934/math.2019.4.1101

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• Expedite homotopy perturbation method based on metaheuristic technique mimicked by the flashing behavior of fireflies

  Najeeb Alam Khan, Samreen Ahmed, Tooba Hameed, Muhammad Asif Zahoor Raja

  2019, 4(4): 1114-1132. doi: 10.3934/math.2019.4.1114

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• Lie symmetry analysis of conformable differential equations

  Youness Chatibi, El Hassan El Kinani, Abdelaziz Ouhadan

  2019, 4(4): 1133-1144. doi: 10.3934/math.2019.4.1133

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• Influence of the topology on the dynamics of a complex network of HIV/AIDS epidemic models

  Guillaume Cantin, Cristiana J. Silva

  2019, 4(4): 1145-1169. doi: 10.3934/math.2019.4.1145

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• On the Diophantine equations $x^2-Dy^2=-1$ and $x^2-Dy^2=4$

  Bingzhou Chen, Jiagui Luo

  2019, 4(4): 1170-1180. doi: 10.3934/math.2019.4.1170

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• Framework for treating non-Linear multi-term fractional differential equations with reasonable spectrum of two-point boundary conditions

  Najeeb Alam Khan, Samreen Ahmad

  2019, 4(4): 1181-1202. doi: 10.3934/math.2019.4.1181

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