## Found 162 Documents (Results 1–100)

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### Existence and asymptotic behaviors of nonlinear neutral Caputo nabla fractional difference equations. (English)Zbl 07570262

MSC:  34K20 26A33 47H10
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### On the dynamics and control of a new fractional difference chaotic map. (English)Zbl 07533171

MSC:  34A08 34H10 34D06
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### On the dynamics of fractional q-deformation chaotic map. (English)Zbl 07529350

MSC:  34A08 34D06 34H10
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### New developments in weighted $$n$$-fold type inequalities via discrete generalized $$\hat{\hbar}$$-proportional fractional operators. (English)Zbl 07507540

MSC:  26Axx 39Axx 26Dxx
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### Some further extensions considering discrete proportional fractional operators. (English)Zbl 07490662

MSC:  26Axx 39Axx 26Dxx
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### An analysis of nonlocal difference equations with finite convolution coefficients. (English)Zbl 1486.39021

MSC:  39A27 39A13 26A33
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### Chebyshev type inequalities with fractional delta and nabla $$h$$-sum operators. (English)Zbl 07544714

MSC:  26D15 26A33 26E70
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### More efficient estimates via $$\hslash$$-discrete fractional calculus theory and applications. (English)Zbl 1486.26019

MSC:  26A51 26D10 26A33
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### The Gronwall’s inequality on the $$(q,h)$$-time scale. (English)Zbl 1483.39002

MSC:  39A12 26E70 39A70
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### Monotonicity results for CFC nabla fractional differences with negative lower bound. (English)Zbl 1485.39006

MSC:  39A12 39A13 26A33
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### Linear chaos control of fractional generalized Hénon map. (English)Zbl 07446964

MSC:  39-XX 37-XX
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### New fractional order discrete Grüss type inequality. (English)Zbl 1484.26045

MSC:  26D15 26A33 35A23
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### Existence and stability of nonlinear discrete fractional initial value problems with application to vibrating eardrum. (English)Zbl 1471.92051

MSC:  92C10 26A33 35F25
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### New formulation for discrete dynamical type inequalities via $$h$$-discrete fractional operator pertaining to nonsingular kernel. (English)Zbl 1476.26014

MSC:  26D15 26A33 33E12
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### Discrete fractional inequalities pertaining a fractional sum operator with some applications on time scales. (English)Zbl 1476.26020

MSC:  26D15 26A33 26E70
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### Stabilization and synchronization of discrete-time fractional chaotic systems with non-identical dimensions. (English)Zbl 1472.39024

MSC:  39A30 39A33 26A33
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### Theoretical and numerical analysis of monotonicity results for fractional difference operators. (English)Zbl 1471.65219

MSC:  65Q10 26A33
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### Quasi-stability and quasi-synchronization control of quaternion-valued fractional-order discrete-time memristive neural networks. (English)Zbl 07335150

MSC:  93-XX 39-XX
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### Ulam-Hyers-Rassias stability and existence of solutions to nonlinear fractional difference equations with multipoint summation boundary condition. (English)Zbl 07552307

MSC:  39A30 39A70 34B27
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### Spectral structure and solution of fractional hydrogen atom difference equations. (English)Zbl 1484.81052

MSC:  81Q80 26A33 39A70
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### Discrete fractional solutions to the effective mass Schrödinger equation by mean of nabla operator. (English)Zbl 1484.39001

MSC:  39A12 34A08 34N05
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### Certain novel estimates within fractional calculus theory on time scales. (English)Zbl 1484.26093

MSC:  26D15 26A33 26E70
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### Finite time stability of fractional delay difference systems: a discrete delayed Mittag-Leffler matrix function approach. (English)Zbl 07511272

MSC:  39-XX 34-XX
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### On Hyers-Ulam Mittag-Leffler stability of discrete fractional Duffing equation with application on inverted pendulum. (English)Zbl 1486.34040

MSC:  34A08 26A33 70K20
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### The fractional difference form of sine chaotification model. (English)Zbl 07501431

MSC:  39A13 39A33 26A33
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### On the dynamics and control of fractional chaotic maps with sine terms. (English)Zbl 07446852

MSC:  26A33 34H10 37D45
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MSC:  39A12
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### On discrete fractional integral inequalities for a class of functions. (English)Zbl 1453.26029

MSC:  26D15 26A33
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MSC:  47-XX
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### Nontrivial solutions of non-autonomous Dirichlet fractional discrete problems. (English)Zbl 07268215

MSC:  39A27 39A13
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### $$n$$-dimensional fractional frequency Laplace transform by the inverse difference operator. (English)Zbl 1459.26013

MSC:  26A33 39A12 44A10
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### The dynamics and control of the fractional forms of some rational chaotic maps. (English)Zbl 1450.37092

MSC:  37N35 37D45 26A33
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### A Hilbert space approach to fractional difference equations. (English)Zbl 1442.39006

Bohner, Martin (ed.) et al., Difference equations and discrete dynamical systems with applications. ICDEA 24, Dresden, Germany, May 21–25, 2018. Proceedings of the 24th international conference on difference equations and applications. Cham: Springer. Springer Proc. Math. Stat. 312, 115-131 (2020).
MSC:  39A13 39A12 26A33
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### Monotonicity analysis of fractional proportional differences. (English)Zbl 1459.26016

MSC:  26A33 39A70
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### A transference principle for nonlocal operators using a convolutional approach: fractional monotonicity and convexity. (English)Zbl 07202576

MSC:  47Axx 43Axx 26Axx
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MSC:  39A33
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### On the dynamics, control and synchronization of fractional-order Ikeda map. (English)Zbl 1448.93186

MSC:  93C55 37D45 39A33
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### Visibility graphs of fractional Wu-Baleanu time series. (English)Zbl 1429.37046

MSC:  37M10 26A33 94A24
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### Mixed order monotonicity results for sequential fractional nabla differences. (English)Zbl 1421.39006

MSC:  39A70 26A33 39A12
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### Green’s function for higher-order boundary value problems involving a Nabla Caputo fractional operator. (English)Zbl 1434.39014

MSC:  39A70 39A27 26A33
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### Positive solutions for a system of first-order discrete fractional boundary value problems with semipositone nonlinearities. (English)Zbl 1417.39030

MSC:  39A14 26A33
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### The fractional form of a new three-dimensional generalized Hénon map. (English)Zbl 1459.34023

MSC:  34A08 34D06 34H10
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### On well-posedness of vector-valued fractional differential-difference equations. (English)Zbl 1411.35267

MSC:  35R11 39A14 47D06
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### Monotonicity analysis for nabla h-discrete fractional Atangana-Baleanu differences. (English)Zbl 1442.39005

MSC:  39A12 34N05
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### Different type kernel $$h$$-fractional differences and their fractional $$h$$-sums. (English)Zbl 1442.34139

MSC:  34N05 39A12 34A08
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MSC:  34A08
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MSC:  39A33
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### Generalized and inverse generalized synchronization of fractional-order discrete-time chaotic systems with non-identical dimensions. (English)Zbl 1448.34020

MSC:  34A08 34H10 34D06
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### Monotonicity results for $$h$$-discrete fractional operators and application. (English)Zbl 1446.39022

MSC:  39A70 39A13 26A33
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### Existence and uniqueness of solutions for a first-order discrete fractional boundary value problem. (English)Zbl 1401.39008

MSC:  39A12 34B18
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### The solution of a new Caputo-like fractional $$h$$-difference equation. (English)Zbl 1402.39006

MSC:  39A13 39A12 39A70
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### Well posedness for semidiscrete fractional Cauchy problems with finite delay. (English)Zbl 06867165

MSC:  35-XX 47-XX
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### Universality in systems with power-law memory and fractional dynamics. (English)Zbl 1386.37082

Edelman, Mark (ed.) et al., Chaotic, fractional, and complex dynamics: new insights and perspectives. Cham: Springer (ISBN 978-3-319-68108-5/hbk; 978-3-319-68109-2/ebook). Springer: Complexity; Understanding Complex Systems, 147-171 (2018).
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### An application of discrete fractional calculus in statistics. (English)Zbl 1471.60019

MSC:  60E05 26A33
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### A study of $$\nabla$$-discrete fractional calculus operator on the radial Schrödinger equation for some physical potentials. (English)Zbl 1423.34015

MSC:  34A08 39A70 47B39
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### Lyapunov functions for Riemann-Liouville-like fractional difference equations. (English)Zbl 1426.39010

MSC:  39A13 34A08
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### Existence and uniqueness of solutions for nonlinear fractional nabla difference systems with initial conditions. (English)Zbl 1424.39046

MSC:  39A70 39A23 47H10
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### Stabilization of fractional order discrete chaotic systems. (English)Zbl 1406.39008

Azar, Ahmad Taher (ed.) et al., Fractional order control and synchronization of chaotic systems. Cham: Springer (ISBN 978-3-319-50248-9/hbk; 978-3-319-50249-6/ebook). Studies in Computational Intelligence 688, 431-445 (2017).
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### Monotonicity results for fractional difference operators with discrete exponential kernels. (English)Zbl 1422.39048

MSC:  39A70 26A33 39A12
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