References
- Jennings GI . Efficient numerical methods for water wave propagation in unbounded domains [PhD thesis]. Michigan: University of Michigan; 2012.
- Biagioni HA . A nonlinear theory of generalized functions. Berlin: Springer Verlag; 1990. (Lecturer notes in mathematics; Vol. 1421).
- Colombeau JF . Elementary introduction to new generalized functions. Amsterdam: North Holland; 1985.
- Nedeljkov M , Pilipović S , Scarpalézos D . The linear theory of colombeau generalized functions. Dorchester: Longman; 1998 (Pitman research notes in mathematics).
- Oberguggenberger M . Multiplication of distributions and applications to partial differential equations. New York (NY): Longman Scientific and Technical; 1992. (Pitman Research Notes in Mathematics; Vol. 259).
- Bazhlekova E . Fractional evolution equations in Banach spaces [PhD thesis]. Eindhoven: Eindhoven University of Technology; 2001.
- Bazhlekova E . The abstract Cauchy problem for the fractional evolution equation. Fract Calc Appl Anal. 1998;3(1):255–270.
- Chen C , Li M . On fractional resolvent operator functions. Semigroup Forum. 2010;80:121–142.
- Li M , Chen C , Li F-B . On fractional powers of generators of fractional resolvent families. J Funct Anal. 2010;259:2702–2726.
- Japundžić M , Rajter-Ćirić D . Reaction-advection-diffusion equations with space fractional derivatives and variable coefficients on infinite domain. Fract Calc Appl Anal. 2015;18(4):911–950.
- Atanacković TM , Pilipović S , Stanković B , et al . Fractional calculus with applications in mechanics, vibrations and diffusion processes. London, New York (NY): ISTE, Wiley; 2014.
- Atanacković TM , Pilipović S , Stanković B , et al . Fractional calculus with application in mechanics: wave propagation, impact and variational principles. London, New York (NY): ISTE, Wiley; 2014.
- Kilbas A , Srivastava H , Trujillo J . Theory and applications of fractional differential equations. Amsterdam: North-Holland; 2006.
- Podlubny I . Fractional differential equations. San Diego: Academic Press; 1999.
- Samko S , Kilbas A , Marichev O . Fractional integrals and derivatives. Amsterdam: Gordon and Breach Science Publishers; 1993.
- Diethelm K . The analysis of fractional differential equations. Berlin, Heidelberg: Springer-Verlag; 2010. (Lecture notes in mathematics; Vol. 2004).
- Umarov S , Saydamatov E . A fractional analog of the Duhamel principle. Fract Calc Appl Anal. 2006;9(1):57–70.
- Erdélyi A , Magnus W , Oberhettinger F , et al . Higher transcendental functions. Vol. 3. New-York (NY): McGraw-Hill; 1955.