Abstract
In this article, we establish a technique for transforming arbitrary real order delta difference equations with impulses to corresponding summation equations. The technique is applied to non-integer order delta difference equation with some boundary conditions. Furthermore, the summation formulation for impulsive fractional difference equation is utilized to construct fixed point operator which in turn are used to discuss existence of solutions.
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© 2020 Diogenes Co., Sofia
Articles in the same Issue
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- Solution of linear fractional order systems with variable coefficients
- “Fuzzy” calculus: The link between quantum mechanics and discrete fractional operators
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- Multiple positive solutions for a nonlocal PDE with critical Sobolev-Hardy and singular nonlinearities via perturbation method
- Variational approximation for fractional Sturm–Liouville problem
- The 2-adic derivatives and fractal dimension of Takagi-like function on 2-series field
- Construction of fixed point operators for nonlinear difference equations of non integer order with impulses
- An averaging principle for stochastic differential equations of fractional order 0 < α < 1
- Weak solvability of the variable-order subdiffusion equation
Articles in the same Issue
- Frontmatter
- Editorial Note
- FCAA related news, events and books (FCAA–Volume 23–3–2020)
- Survey Paper
- Why fractional derivatives with nonsingular kernels should not be used
- Fractional-order susceptible-infected model: Definition and applications to the study of COVID-19 main protease
- Generalized fractional Poisson process and related stochastic dynamics
- Research Paper
- Determination of the fractional order in semilinear subdiffusion equations
- Degenerate Kirchhoff (p, q)–Fractional systems with critical nonlinearities
- Solution of linear fractional order systems with variable coefficients
- “Fuzzy” calculus: The link between quantum mechanics and discrete fractional operators
- The green function for a class of Caputo fractional differential equations with a convection term
- Inverse problem for a multi-term fractional differential equation
- Maximum principles for a class of generalized time-fractional diffusion equations
- Multiple positive solutions for a nonlocal PDE with critical Sobolev-Hardy and singular nonlinearities via perturbation method
- Variational approximation for fractional Sturm–Liouville problem
- The 2-adic derivatives and fractal dimension of Takagi-like function on 2-series field
- Construction of fixed point operators for nonlinear difference equations of non integer order with impulses
- An averaging principle for stochastic differential equations of fractional order 0 < α < 1
- Weak solvability of the variable-order subdiffusion equation