A Conformable Fractional Calculus on Arbitrary Time Scales
Explore this paper's citation graph
- Type
- article
- Published
- 2015-05-12
- Cited by
- 215
- References
- 18
- Access
- Open access
- OpenAlex
- https://openalex.org/W304963343
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:33468751
Keywords
Conformable matrix, Fractional calculus, Calculus (dental), Time-scale calculus, Scale (ratio)
References
- Dynamic Equations on Time Scales
- Theories of populations in biological communities
- Advances in Dynamic Equations on Time Scales
- Solving Abel integral equations of first kind via fractional calculus
- Fractional extensions of the temperature field problems in oil strata
- Fractional diffusion and wave equations
- Three-Point Boundary Value Problems for Conformable Fractional Differential Equations
- Differential and difference calculus — Unified!
- A new definition of fractional derivative
- Analysis on Measure Chains — A Unified Approach to Continuous and Discrete Calculus
- Recent history of fractional calculus
- On conformable fractional calculus
- Lattice fractional calculus
- Dynamic equations on time scales: a survey
- Some Fractional Extensions of the Temperature Field Problem in Oil Strata
- On conformable fractional calulus
- A fractional calculus on arbitrary time scales: Fractional differentiation and fractional integration
Cited by
- Existence and Uniqueness of Solution for a Fractional Riemann-Liouville Initial Value Problem on Time Scales
- Existence of solution to a local fractional nonlinear differential equation
- Solutions around a Regular α Singular Point of a Sequential Conformable Fractional Differential Equation
- A New fractional derivative for differential equation of fractional order under interval uncertainty
- Exact traveling wave solutions to the fractional coupled nonlinear Schrodinger equations
- Sturm’s theorems for conformable fractional differential equations
- Variational calculus with conformable fractional derivatives
- New exact solutions of Burgers’ type equations with conformable derivative
- Sturm–Picone comparison theorem of a kind of conformable fractional differential equations on time scales
- New properties of conformable derivative
- A Mean Value Theorem for the Conformable Fractional Calculus on Arbitrary Time Scales
- Fractional Sobolev’s Spaces on Time Scales via Conformable Fractional Calculus and Their Application to a Fractional Differential Equation on Time Scales
- On the analytical solutions of the system of conformable time-fractional Robertson equations with 1-D diffusion
- Newly Defined Conformable Derivatives
- Chain rules and inequalities for the BHT fractional calculus on arbitrary timescales
- New traveling wave exact and approximate solutions for the nonlinear Cahn–Allen equation: evolution of a nonconserved quantity
- Hermite-Hadamard type inequalities via confortable fractional integrals
- Functional Variable Method for conformable fractional modified KdV-ZK equation and Maccari system
- Noether theory for Birkhoffian systems with nabla derivatives
- A Truly Conformable Calculus on Time Scales
Related papers
- Conformable fractional derivative and its application to partial fractional derivatives
- Improvement on Conformable Fractional Derivative and Its Applications in Fractional Differential Equations
- Contributions to Conformable and non-Conformable Calculus
- Fractional conformable derivatives of Liouville–Caputo type with low-fractionality
- Grey model with conformable fractional derivative
- A modification to the conformable fractional calculus with some applications
- On Conformable, Riemann-Liouville, and Caputo fractional derivatives
- Fractional Order Calculus and Derivative Implementation