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Progress in Fractional Differentiation and Applications
An International Journal
               
 
 
 
 
 
 
 
 
 
 
 

Content
 

Vol. 01 > Oct. 2015

 

 

Modeling Tumor Volume with Basic Functions of Fractional Calculus, Vol. 01, No. 4 (Oct. 2015), PP:229-241

doi:10.18576/pfda/010401

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Authors:
Ferhan M. Atıcı - Western Kentucky University, Department of Mathematics, Bowling Green, Kentucky 42101-3576 USA
Mustafa Atıcı - Western Kentucky University, Department of Computer Science, Bowling Green, Kentucky 42101-3576 USA
William J. M. Hrushesky - Senior Executive Medical Director and Chief Scientific Officer Oncology Analytics Inc. USA
Ngoc Nguyen - Western Kentucky University, Department of Mathematics, Bowling Green, Kentucky 42101-3576 USA

How to Cite:
Ferhan M. Atıcı, Mustafa Atıcı, William J. M. Hrushesky, Ngoc Nguyen, Modeling Tumor Volume with Basic Functions of Fractional Calculus, Progress in Fractional Differentiation and Applications, Vol. 01, No. 4, pp: 229-241, 2015, Doi: https://dx.doi.org/10.18576/pfda/010401

 

Three-Dimensional Lattice Approach to Fractional Generalization of Continuum Gradient Elasticity, Vol. 01, No. 4 (Oct. 2015), PP:243-258

doi:10.18576/pfda/010402

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Authors:
Vasily E. Tarasov - Skobeltsyn Institute of Nuclear Physics, Lomonosov Moscow State University, Moscow 119991, Russia

How to Cite:
Vasily E. Tarasov, Three-Dimensional Lattice Approach to Fractional Generalization of Continuum Gradient Elasticity, Progress in Fractional Differentiation and Applications, Vol. 01, No. 4, pp: 243-258, 2015, Doi: https://dx.doi.org/10.18576/pfda/010402

 

Fractional Space Waves in Conductors, Vol. 01, No. 4 (Oct. 2015), PP:259-267

doi:10.18576/pfda/010403

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Authors:
J. F. Gómez-Aguilar - Cátedras CONACYT, Centro Nacional de Investigación y Desarrollo Tecnológico, Tecnológico Nacional de México. Interior Internado Palmira S/N, Col. Palmira, C.P. 62490, Cuernavaca, Morelos, México

How to Cite:
J. F. Gómez-Aguilar, Fractional Space Waves in Conductors, Progress in Fractional Differentiation and Applications, Vol. 01, No. 4, pp: 259-267, 2015, Doi: https://dx.doi.org/10.18576/pfda/010403

 

Numerical Scheme for Solving the Space-Time Variable Order Nonlinear Fractional Wave Equation, Vol. 01, No. 4 (Oct. 2015), PP:269-280

doi:10.18576/pfda/010404

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Authors:
Nasser Hassan Sweilam - Department of Mathematics, Faculty of Science, Cairo University, Giza, Egypt
Taghreed Abdulrahman Assiri - Department of Mathematics, Faculty of Science, Um-Alqura University, Saudi Arabia.

How to Cite:
Nasser Hassan Sweilam, Taghreed Abdulrahman Assiri, Numerical Scheme for Solving the Space-Time Variable Order Nonlinear Fractional Wave Equation, Progress in Fractional Differentiation and Applications, Vol. 01, No. 4, pp: 269-280, 2015, Doi: https://dx.doi.org/10.18576/pfda/010404

 

Controllability of Sobolev Type Nonlinear Nonlocal Fractional Functional Integrodifferential Equations, Vol. 01, No. 4 (Oct. 2015), PP:281-293

doi:10.18576/pfda/010405

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Authors:
Madhukant Sharma - Department of Mathematics, IIT Madras, Chennai - 600 036, Tamilnadu, India
Shruti Dubey - Department of Mathematics, IIT Madras, Chennai - 600 036, Tamilnadu, India

How to Cite:
Madhukant Sharma, Shruti Dubey, Controllability of Sobolev Type Nonlinear Nonlocal Fractional Functional Integrodifferential Equations, Progress in Fractional Differentiation and Applications, Vol. 01, No. 4, pp: 281-293, 2015, Doi: https://dx.doi.org/10.18576/pfda/010405

 

Controllability for a Class of Nonlocal Impulsive Neutral Fractional Functional Differential Equations, Vol. 01, No. 4 (Oct. 2015), PP:295-302

doi:10.18576/pfda/010406

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Authors:
Ganga Ram Gautam - Dept. Appl. Sci. Engin., IIT Roorkee, Saharanpur Campus-247001, India.
Jaydev Dabas - Dept. Appl. Sci. Engin., IIT Roorkee, Saharanpur Campus-247001, India.

How to Cite:
Ganga Ram Gautam, Jaydev Dabas, Controllability for a Class of Nonlocal Impulsive Neutral Fractional Functional Differential Equations, Progress in Fractional Differentiation and Applications, Vol. 01, No. 4, pp: 295-302, 2015, Doi: https://dx.doi.org/10.18576/pfda/010406

 

Sufficient Conditions for Existence and Uniqueness of Solutions to Fractional Order Multi-Point Boundary Value Problems, Vol. 01, No. 4 (Oct. 2015), PP:303-311

doi:10.18576/pfda/010407

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Authors:
Salman Zeb - Department of Mathematics, University of Malakand, Chakdara, Dir (Lower), Khyber Pakhtunkhwa, Pakistan
Rahmat Ali Khan - Department of Mathematics, University of Malakand, Chakdara, Dir (Lower), Khyber Pakhtunkhwa, Pakistan

How to Cite:
Salman Zeb, Rahmat Ali Khan, Sufficient Conditions for Existence and Uniqueness of Solutions to Fractional Order Multi-Point Boundary Value Problems, Progress in Fractional Differentiation and Applications, Vol. 01, No. 4, pp: 303-311, 2015, Doi: https://dx.doi.org/10.18576/pfda/010407

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