Certain classes of ordinary and partial differential equations solvable by means of fractional calculus

Applied Mathematics and Computation

Volumn 131, Issue 2-3, 2002, Pages 223-233

  Lin, Shy Der ^a   Tu, Shih Tong ^a   Srivastava, H M ^b  

^a CHUNG YUAN CHRISTIAN UNIVERSITY   (Taiwan)

^b UNIVERSITY OF VICTORIA   (Canada)

Author keywords

Analytic functions; Differintegral equations; Fractional calculus; Generalized Leibniz rule; Index law; Integral curves; Linearity property; Ordinary and partial differential equations; Principal value

Indexed keywords

INTEGRODIFFERENTIAL EQUATIONS; LINEAR EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS; THEOREM PROVING;

INDEX LAW; LEIBNIZ RULE;

ORDINARY DIFFERENTIAL EQUATIONS;

EID: 0037174272     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0096-3003(01)00139-4     Document Type: Article

References (15)

1. Arbitrary order linear ordinary differintegral equations with polynomial coefficients
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3. An application of N-fractional calculus to solve a homogeneous and non-homogeneous linear ordinary differential equations of second order
4. Application of fractional calculus in solving certain classes of Fuchsian differential equations
5. Solutions of some second-order linear differential equations by means of fractional calculus
6. Fractional differential equations
7. Some fractional differintegral equations
8. Some families of ordinary and partial fractional differintegral equations
9. A certain family of fractional differintegral equations
10. Solutions of a certain class of fractional differintegral equations
11. Solutions of a class of ordinary and partial differential equations via fractional calculus
12. Applications of fractional calculus to ordinary and partial differential equations of the second order