A complex valued approach to the solutions of Riemann-Liouville integral, Atangana-Baleanu integral operator and non-linear telegraph equation via fixed point method
DOI10.1016/j.chaos.2019.109439zbMath1489.34112OpenAlexW2976451825WikidataQ127201349 ScholiaQ127201349MaRDI QIDQ2122419
Sumati Kumari Panda, Thabet Abdeljawad, Chokkalingam Ravichandran
Publication date: 6 April 2022
Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.chaos.2019.109439
Riemann-Liouville integralcomplex valued Atangana-Baleanu integral operator and telegraph equationcomplex valued controlled metric spacecomplex valued double controlled metric spacecomplex valued extended metric space
Fractional derivatives and integrals (26A33) Applications of operator theory to differential and integral equations (47N20) Integral operators (45P05) Fractional ordinary differential equations (34A08) Functional-differential equations with fractional derivatives (34K37)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Cyclic contractions and fixed point theorems on various generating spaces
- On the numerical solutions of some fractional ordinary differential equations by fractional Adams-Bashforth-Moulton method
- Riemann-Liouville fractional integro-differential equations with fractional nonlocal integral boundary conditions
- Positive solutions of an initial value problem for nonlinear fractional differential equations
- A complete set of integrals and solutions to the Szekeres system
- Analysis and application of new fractional Adams-Bashforth scheme with Caputo-Fabrizio derivative
- New results on exact controllability of a class of fractional neutral integro-differential systems with state-dependent delay in Banach spaces
- Existence of solutions for Riemann-Liouville fractional boundary value problem
- Convergence axioms on dislocated symmetric spaces
- Minkowski's inequality for the AB-fractional integral operator
- New numerical simulations for some real world problems with Atangana-Baleanu fractional derivative
- Application of Atangana-Baleanu fractional derivative to MHD channel flow of CMC-based-CNT's nanofluid through a porous medium
- On a class of ordinary differential equations in the frame of Atangana-Baleanu fractional derivative
- Monotonicity analysis for nabla h-discrete fractional Atangana-Baleanu differences
- Numerical approximations of Atangana-Baleanu Caputo derivative and its application
- On some new properties of fractional derivatives with Mittag-Leffler kernel
- New results on existence in the framework of Atangana-Baleanu derivative for fractional integro-differential equations
- Optimal control problem for variable-order fractional differential systems with time delay involving Atangana-Baleanu derivatives
- Fundamental results on weighted Caputo-Fabrizio fractional derivative
- Fractional difference operators with discrete generalized Mittag-Leffler kernels
- A new approach to the solution of non-linear integral equations via various \(F_{B_e}\)-contractions
- A peculiar application of Atangana-Baleanu fractional derivative in neuroscience: chaotic burst dynamics
- Double controlled metric type spaces and some fixed point results
- Solutions of the nonlinear integral equation and fractional differential equation using the technique of a fixed point with a numerical experiment in extended \(b\)-metric space
- A generalization of \(b\)-metric space and some fixed point theorems
- Novel simulations to the time-fractional Fisher's equation
- Numerical solutions with linearization techniques of the fractional Harry Dym equation
- Common Fixed Point Theorems in Complex Valued Metric Spaces
- Complex valued rectangular b-metric spaces and an application to linear equations
- New fractional derivatives with non-singular kernel applied to the Burgers equation
- Comparison of Fractional Order Derivatives Computational Accuracy - Right Hand vs Left Hand Definition
- Fractional Differential Equations Involving Caputo Fractional Derivative with Mittag-Leffler Non-Singular Kernel: Comparison Principles and Applications
- New numerical surfaces to the mathematical model of cancer chemotherapy effect in Caputo fractional derivatives
- Analysis of a fractional eigenvalue problem involving Atangana-Baleanu fractional derivative: A maximum principle and applications
- Fractional operators with generalized Mittag-Leffler kernels and their iterated differintegrals
- Capturing complexities with composite operator and differential operators with non-singular kernel
- On the formulation of Adams-Bashforth scheme with Atangana-Baleanu-Caputo fractional derivative to model chaotic problems
- Numerical and exact solutions for time fractional Burgers' equation
- Complex valued dislocated metric spaces
- Comparison of Caputo and conformable derivatives for time-fractional Korteweg–de Vries equation via the finite difference method
- Controlled metric type spaces and the related contraction principle