How many papers support this gap analysis?

5 papers from our local library contribute to this synthesis, with an average publication year of 2026.

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mathematics5 papersavg year 2026weak evidence

The paper identifies a gap in the literature regarding

Research gap analysis derived from 5 mathematics papers in our local library.

The gap

The paper identifies a gap in the literature regarding the study of nonlocal Cauchy-type problems involving integro-differential equations with weighted fractional derivatives.

Evidence profile

Sourced from the stated research gap of the source papers, classified as general, spanning 5 journals.

Research trend

Established — well-defined area with open sub-problems.

Supporting evidence — 5 representative gaps

On the Mild Solutions of Second-Order Θ-Caputo Fractional Boundary Value Problems (2026) · Mathematics · doi
The lack of sufficient conditions for the existence and uniqueness of solutions to second-order fractional boundary value problems involving Θ-Caputo derivatives. The need to extend classical existence and uniqueness results to more general cases.
generalstated research gap
Keywords: lack sufficient conditions existence uniqueness solutions second-order fractional
On the Existence of Solutions for ψ-Caputo Fractional Integro-Differential Boundary Value Problems (2026) · Fractal and Fractional · doi
The lack of studies on the existence of solutions for fractional integro-differential equations involving the ψ-Caputo fractional derivative. The need to extend existing works on fractional differential equations involving generalized Caputo-type operators.
generalstated research gap
Keywords: lack studies existence solutions fractional integro-differential equations involving
ON A CLASS OF CAUCHY-TYPE PROBLEMS ASSOCIATED WITH WEIGHTED FRACTIONAL DERIVATIVES (2026) · Journal of Applied Analysis & Computation · doi
The paper identifies a gap in the literature regarding the study of nonlocal Cauchy-type problems involving integro-differential equations with weighted fractional derivatives.
generalstated research gapevidence 5/5
Keywords: paper identifies gap literature regarding study nonlocal cauchy-type
EQUIVALENCE OF INITIAL CONDITIONS FOR A FRACTIONAL DIFFERENTIAL EQUATION WITH THE RIEMANN–LIOUVILLE DERIVATIVE (2026) · Zenodo (CERN European Organization for Nuclear Research) · doi
The Riemann-Liouville formulation complicates analysis and applications due to its integral nature. The Cauchy problem for a fractional differential equation has specific restrictions on the right-hand side of the equation.
generalstated research gapevidence 5/5
Keywords: riemann-liouville formulation complicates analysis applications due integral nature
Existence and Ulam-Hyers stability for a singular Caputo-fractional problem with integral boundary conditions (2026) · DOAJ (DOAJ: Directory of Open Access Journals) · doi
The paper identifies a gap in the study of singular fractional-order Caputo differential problems with integral boundary conditions. The paper addresses this gap by establishing the existence of a unique solution and investigating the stability of the problem.
generalstated research gapevidence 5/5
Keywords: paper identifies gap study singular fractional-order caputo differential

Questions about this gap

The paper identifies a gap in the literature regarding the study of nonlocal Cauchy-type problems involving integro-differential equations with weighted fractional derivatives. This is supported by 5 representative gap statements extracted from 5 papers, rated weak evidence.

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