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International Journal of Computer Mathematics Volume 95, 2018 - Issue 6-7: Advances on Computational Fractional Partial Differential Equations
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Original Articles

Total fractional differentials with applications to exact fractional differential equations

Mohammed ALHoraniDepartment of Mathematics, The University of Jordan, Amman, JordanCorrespondence[email protected]
&
Roshdi KhalilDepartment of Mathematics, The University of Jordan, Amman, Jordan
Pages 1444-1452 | Received 30 Mar 2017, Accepted 25 Sep 2017, Published online: 21 Feb 2018

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Talat Körpinar, Rıdvan Cem Demirkol & Zeliha Körpınar. (2023) Alternative optical phase of the conformable ferromagnetic and antiferromagnetic media. Waves in Random and Complex Media 0:0, pages 1-17.
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Ahmed Bouchenak, Mohammed Al Horani, Jihad Younis, Roshdi Khalil & Mohamed A. Abd El Salam. (2022) Fractional Laplace transform for matrix valued functions with applications. Arab Journal of Basic and Applied Sciences 29:1, pages 330-336.
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Articles from other publishers (24)

Ahmed Bouchenak, Iqbal M. Batiha, Mazin Aljazzazi, Iqbal H. Jebril, Mohammed Al-Horani & Roshdi Khalil. (2024) Atomic exact solution for some fractional partial differential equations in Banach spaces. Partial Differential Equations in Applied Mathematics 9, pages 100626.
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Ricardo Abreu‐Blaya, José M. Rodríguez & José M. Sigarreta. (2023) On the generalized Fourier transform. Mathematical Methods in the Applied Sciences 46:16, pages 16709-16733.
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Talat Körpinar & Zeliha Körpinar. (2023) Optical conformable electromotive with spherical antiferromagnetic flux intensity. Optical and Quantum Electronics 55:12.
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F. Seddiki, M. Alhorani & R. Khalil. (2022) Tensor product and inverse fractional abstract Cauchy problem. Rendiconti del Circolo Matematico di Palermo Series 2 72:4, pages 2321-2332.
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Talat Körpinar, Rıdvan Cem Demirkol & Zeliha Körpinar. (2023) On the new conformable optical ferromagnetic and antiferromagnetic magnetically driven waves. Optical and Quantum Electronics 55:6.
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Miguel Vivas-Cortez, Martin Patricio Árciga, Juan Carlos Najera & Jorge Eliecer Hernández. (2023) On some conformable boundary value problems in the setting of a new generalized conformable fractional derivative. Demonstratio Mathematica 56:1.
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Gharib Gharib, Maha Alsoudi & Ibtissem Benkemache. (2023) Solving Non Linear Fractional Newell-Whitehead Equation By Atomic Solution. WSEAS TRANSACTIONS ON MATHEMATICS 22, pages 114-119.
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Gharib M. Gharib, Maha S. Alsauodi, Ahlam Guiatni, Mohammad A. Al-Omari & Abed Al-Rahman M. Malkawi. 2023. Mathematics and Computation. Mathematics and Computation 123 129 .
Juan C. Hernández‐Gómez, Rosalio Reyes, José M. Rodríguez & José M. Sigarreta. (2022) Fractional model for the study of the tuberculosis in Mexico. Mathematical Methods in the Applied Sciences 45:17, pages 10675-10688.
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Martha Paola Cruz, Ricardo Abreu-Blaya, Paul Bosch, José M. Rodríguez & José M. Sigarreta. (2022) On Ostrowski Type Inequalities for Generalized Integral Operators. Journal of Mathematics 2022, pages 1-9.
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F. Martínez, I. Martínez, Mohammed K.A. Kaabar & S. Paredes. (2021) Solving systems of conformable linear differential equations via the conformable exponential matrix. Ain Shams Engineering Journal 12:4, pages 4075-4080.
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Mohammed K. A. Kaabar, Francisco Martínez, Inmaculada Martínez, Zailan Siri & Silvestre Paredes. (2021) Novel Investigation of Multivariable Conformable Calculus for Modeling Scientific Phenomena. Journal of Mathematics 2021, pages 1-12.
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Alsauodi Maha, Alhorani Mohammed & Khalil Roshdi. (2021) Solutions of Certain Fractional Partial Differential Equations. WSEAS TRANSACTIONS ON MATHEMATICS 20, pages 504-507.
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Shailesh A. Bhanotar & Mohammed K. A. Kaabar. (2021) Analytical Solutions for the Nonlinear Partial Differential Equations Using the Conformable Triple Laplace Transform Decomposition Method. International Journal of Differential Equations 2021, pages 1-18.
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Lahcene Rabhi, Mohammed Al Horani & Roshdi Khalil. (2021) Inhomogeneous conformable abstract Cauchy problem. Open Mathematics 19:1, pages 690-705.
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Paul Bosch, Héctor José Carmenate García, José Manuel Rodríguez & José María Sigarreta. (2021) On the Generalized Laplace Transform. Symmetry 13:4, pages 669.
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Francisco Martínez, Inmaculada Martínez, Mohammed K. A. Kaabar & Silvestre Paredes. (2021) Generalized Conformable Mean Value Theorems with Applications to Multivariable Calculus. Journal of Mathematics 2021, pages 1-7.
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Francisco Martínez, Inmaculada Martínez, Mohammed K. A. Kaabar & Silvestre Paredes. (2021) On Conformable Laplace’s Equation. Mathematical Problems in Engineering 2021, pages 1-10.
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PAUL BOSCH, J. F. GÓMEZ-AGUILAR, JOSÉ M. RODRÍGUEZ & JOSÉ M. SIGARRETA. (2020) ANALYSIS OF DENGUE FEVER OUTBREAK BY GENERALIZED FRACTIONAL DERIVATIVE. Fractals 28:08, pages 2040038.
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Wang Weixing, Chen Weiwei, Wang Kevin & Li Shuang. (2020) Extraction of tunnel center line and cross-sections on fractional calculus, 3D invariant moments and best-fit ellipse. Optics & Laser Technology 128, pages 106220.
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Francisco Martínez, Inmaculada Martínez, Mohammed K. A. Kaabar & Silvestre Paredes. (2020) New results on complex conformable integral. AIMS Mathematics 5:6, pages 7695-7710.
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Alberto Fleitas, J.F. Gómez-Aguilar, Juan E. Nápoles Valdés, José M. Rodríguez & José M. Sigarreta. (2019) Analysis of the local Drude model involving the generalized fractional derivative. Optik 193, pages 163008.
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Jianpu Lin, Tailiang Guo, Qun F Yan & Weixing Wang. (2019) Image segmentation by improved minimum spanning tree with fractional differential and Canny detector. Journal of Algorithms & Computational Technology 13, pages 174830261987359.
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Wenyong Zhong & Lanfang Wang. (2018) Positive solutions of conformable fractional differential equations with integral boundary conditions. Boundary Value Problems 2018:1.
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