Abstract
In the paper, using the generalized Marichev–Saigo–Maeda fractional operator, the authors establish some fractional differential equations associated with generalized hypergeometric functions and, by employing integral transforms, present some image formulas of the resulting equations.
Acknowledgements
The authors thank the anonymous referees for their valuable comments on the original version of this paper.
References
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© 2019 Walter de Gruyter GmbH, Berlin/Boston
Artikel in diesem Heft
- Frontmatter
- Two-step collocation methods for two-dimensional Volterra integral equations of the second kind
- Riesz basis of exponential family for a hyperbolic system
- 𝜎-ideals and outer measures on the real line
- Some fractional differential equations involving generalized hypergeometric functions
- Global existence of solutions to nonlinear Volterra integral equations
- Second-order characterization of convex functions and its applications
- On some k-fractional integral inequalities of~Hermite--Hadamard type for twice differentiable generalized beta (r, g)-preinvex functions
- Refinements of the Hermite–Hadamard inequality for co-ordinated convex mappings
- Fractional Ostrowski type inequalities for functions whose certain power of modulus of the first derivatives are pre-quasi-invex via power mean inequality
- Some families of sublinear correspondences
- Decay rates for a coupled quasilinear system of nonlinear viscoelastic equations
- A note on the regularity of weak solutions to the coupled 2D Allen–Cahn–Navier–Stokes system
Artikel in diesem Heft
- Frontmatter
- Two-step collocation methods for two-dimensional Volterra integral equations of the second kind
- Riesz basis of exponential family for a hyperbolic system
- 𝜎-ideals and outer measures on the real line
- Some fractional differential equations involving generalized hypergeometric functions
- Global existence of solutions to nonlinear Volterra integral equations
- Second-order characterization of convex functions and its applications
- On some k-fractional integral inequalities of~Hermite--Hadamard type for twice differentiable generalized beta (r, g)-preinvex functions
- Refinements of the Hermite–Hadamard inequality for co-ordinated convex mappings
- Fractional Ostrowski type inequalities for functions whose certain power of modulus of the first derivatives are pre-quasi-invex via power mean inequality
- Some families of sublinear correspondences
- Decay rates for a coupled quasilinear system of nonlinear viscoelastic equations
- A note on the regularity of weak solutions to the coupled 2D Allen–Cahn–Navier–Stokes system