Solution to system of partial fractional differential equations using the fractional exponential operators

Mathematical Methods in the Applied Sciences

Volumn 35, Issue 1, 2012, Pages 119-123

  Ansari, A ^a   Refahi Sheikhani, A ^b   Saberi Najafi, H ^b  

^a SHAHREKORD UNIVERSITY   (Iran)

^b ISLAMIC AZAD UNIVERSITY   (Iran)

Author keywords

eigenvalue of matrix; Mellin transform; partial fractional differential equation; wright function

Indexed keywords

DIFFUSION EQUATIONS; EXPONENTIAL OPERATORS; FORMAL SOLUTION; FRACTIONAL DIFFERENTIAL EQUATIONS; GENERAL APPROACH; INTEGRAL REPRESENTATION; MATRIX; MELLIN TRANSFORM; WRIGHT FUNCTIONS;

PARTIAL DIFFERENTIAL EQUATIONS;

EIGENVALUES AND EIGENFUNCTIONS;

EID: 84855311505     PISSN: 01704214     EISSN: 10991476     Source Type: Journal    
DOI: 10.1002/mma.1545     Document Type: Article

References (10)

1. Dattoli G, Ottaviani PL, Torte A, Vazquez L,. Evolution operators equations: integration with algebraic and finite difference methods. Applications to physical problems in classical and quantum mechanics and quantum field theory. Rivista del Nuovo Cimento 1997; 20: 1-133. (Pubitemid 127344639)
2. Dattoli G, Srivastava HM, Zhukovsky K,. Operational methods and differential equations with applications to initial-value problems. Applied Mathematics and Computation 2007; 184: 979-1001. (Pubitemid 46188358)
3. Dattoli G, Ricci PE, Khomasuridze I,. Operational methods,special polynomial and functions and solution of partial differential equations. Integral Transforms and Special Functions 2004; 15 (4): 309-321. (Pubitemid 38750749)
4. Dattoli G,. Operational methods, fractional operators and special polynomials. Applied Mathematics and Computation 2003; 141: 151-159.
5. Dattoli G, Ricci PE, Sacchetti D,. Generalized shift operators and pseudo-polynomials of fractional order. Applied Mathematics and Computation 2003; 141: 215-224.
6. Vallee O, Soares M,. Airy Functions and Applications to Physics, Imperial College Press: London, 2004.
7. Aghili A, Ansari A,. Solving partial fractional differential equations using the L A -transform. Asian-European Journal of Mathematics 2010; 3 (2): 209-220.
8. Aghili A, Ansari A,. Solution to system of partial fractional differential equation using the L 2 -transform. Analysis and Applications 2011; 9 (1): 1-9.
9. Podlubny I,. Fractional Differential Equations, Academic Press: San Diego, 1999.
10. Kelley WG, Peterson AC,. The Theory of Differential Equation Classical and Qualitative, 2nd edition, Springer-Verlag: New York, 2010.