Existence and stability analysis for a class of fractional pantograph \(q\)-difference equations with nonlocal boundary conditions

(q)-calculus and related topics (05A30) Fractional derivatives and integrals (26A33) Difference equations, scaling ((q)-differences) (39A13) Stability theory for difference equations (39A30)

Cites Work

Symmetries of the \(q\)-difference heat equation
Existence of positive solutions for two-point boundary value problems of nonlinear fractional \(q\)-difference equation
Existence theory for \(q\)-antiperiodic boundary value problems of sequential \(q\)-fractional integrodifferential equations
Investigating a class of pantograph differential equations under multi-points boundary conditions with fractional order
The existence of nonnegative solutions for a nonlinear fractional \(q\)-differential problem via a different numerical approach
On the existence of solutions for a multi-singular pointwise defined fractional \(q\)-integro-differential equation
On a system of fractional \(q\)-differential inclusions via sum of two multi-term functions on a time scale
Existence and uniqueness of solutions for multi-term fractional \(q\)-integro-differential equations via quantum calculus
Existence and Ulam stability for implicit fractional \(q\)-difference equations
New approach to solutions of a class of singular fractional \(q\)-differential problem via quantum calculus
Applying quantum calculus for the existence of solution of \(q\)-integro-differential equations with three criteria
Existence results for a fraction hybrid differential inclusion with Caputo-Hadamard type fractional derivative
On fractional boundary value problems involving fractional derivatives with Mittag-Leffler kernel and nonlinear integral conditions
Transformation theory of the q-oscillator
APPROXIMATE ENDPOINT SOLUTIONS FOR A CLASS OF FRACTIONAL q-DIFFERENTIAL INCLUSIONS BY COMPUTATIONAL RESULTS
Existence and uniqueness results for nonlinear implicit Riemann-Liouville fractional differential equations with nonlocal conditions
Quantum calculus
On two structures of the fractional q‐sequential integro‐differential boundary value problems
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